The safe load, L., of a wooden beam supported at both ends varies jointly as the width, w, and the square of the depth, d, and inversely as the length, I. A wood 3 in. wide, 8 in, deep, and 4 ft long holds up 14096 lb. What load would a beam 10 in. wide, 4 in. deep, and 19 ft. long, of the same material, support? Round answer to the nearest integer if necessary.