Duran, of Taylorsville, was last seen at a campsite near Spirit Lake, about 15 miles southwest of Manila, at about 9 a.m. Thursday.
"He is considered to be endangered due to the fact that he has no shoes, no coat or protection from the elements," according to Daggett County Sheriff Jerry Jorgensen, who confirmed that staff members of the youth program, Journey Impact Ranch, notified authorities on Thursday that the boy was missing.
KUTV News reported Saturday that officials combing an eight-mile radius around the campsite found a footprint that may be Duran's. The teens at the camp were all required to surrender their shoes as a way to discourage runaways. The news station reported that dogs are trying to pick up a scent near the barefoot print in hope of picking up a trail.
In addition to search-and-rescue crews from Daggett and Uintah counties, the effort to find the teen includes horseback riders and a helicopter, and the Garrett Bardsley Foundation is organizing volunteer searchers.
Twelve-year-old Garrett Bardsley disappeared in 2004 during a Boy Scout outing in the Uinta Mountains. According to the Foundation's website, they are seeking volunteers with horses and mules, as well as those who can search on foot.
Duran is a 5-foot-6, 130-pound Cacausian with hazel eyes and light brown hair. He was last seen wearing long pants, T-shirt and socks.
He reportedly had been in the youth program for about three weeks.
According to the Journey organization's website, the Impact Ranch is a "moderate risk" program for boys ages 13 to 18. Residents stay on average four to six months, taking on-site classes and participating in work projects on the 12-acre, Mona-area ranch itself and for the U.S. Forest Service. Behavioral therapy sessions, regular hikes and backpacking trips also are part of the program.