Emek and Tara were crossing a remote desert when their exploration vehicle showed 38 liters of fuel remaining. The next supply station was 168 kilometers away, but a damaged section of road required a 24-kilometer detour. Before continuing, they checked their travel log. Under similar conditions, the vehicle had used 14 liters of fuel to travel 84 kilometers. Tara set up the proportion 14/84 = x/192, using the total remaining distance of 168 + 24 = 192 kilometers. Solving the proportion gave x = 32 liters. Emek checked the result by finding the vehicle's rate of 1/6 liter per kilometer and multiplying it by 192. The calculation again gave 32 liters. Since they had 38 liters, they would arrive with 6 liters remaining. They also calculated that the original 168-kilometer route would have required 28 liters, so the detour added 4 liters to their fuel use. Confident that their supply was sufficient, they followed the detour and reached the station safely.