We are required to find the cost of stack that has the same height as mount Logan(19,500 ft).
The cost of stack that has the same height as mount Logan(19,500 ft) is $17,550
convert feet to inches
1 foot = 12 inches
19,500 ft = 234,000 inches
Each stack of 40 in high cost $3
Height of stack : cost = 40 : 3
let
x = cost of 19,500 ft high
Recall,
19,500 ft = 234,000 inches
Height of stack : cost = 234,000 : x
Equate the ratios
40 : 3 = 234,000 : x
40 / 3 = 234,000 / x
cross product
40 × x = 234,000 × 3
40x = 702,000
divide both sides by 40
x = 702,000 / 40
x = $17,550
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