Finding the Fourth Proportional to 25,600, 35,328 and 13,824
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Solution
The fourth proportional to 25,600, 35,328 and 13,824 is: 19,077.12
Step by Step Solution
- Step 1: Write the proportion equation
25,600 : 35,328 = 13,824 : x - Step 2: Convert to fraction form
25,600/35,328 = 13,824/x - Step 3: Cross multiply
25,600x = 35,328 × 13,824 - Step 4: Simplify right side
25,600x = 488,374,272 - Step 5: Solve for x
x = 488,374,272/25,600 - Step 6: Final answer
x = 19,077.12
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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.