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Finding the Fourth Proportional to 17,691.63, 24,414.27 and 9,625.53

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Solution

The fourth proportional to 17,691.63, 24,414.27 and 9,625.53 is: 13,283.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,691.63 : 24,414.27 = 9,625.53 : x
  2. Step 2: Convert to fraction form
    17,691.63/24,414.27 = 9,625.53/x
  3. Step 3: Cross multiply
    17,691.63x = 24,414.27 × 9,625.53
  4. Step 4: Simplify right side
    17,691.63x = 235,000,350.54
  5. Step 5: Solve for x
    x = 235,000,350.54/17,691.63
  6. Step 6: Final answer
    x = 13,283.13

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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.