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Finding the Fourth Proportional to 17,414.87, 24,032.14 and 9,457.02

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Solution

The fourth proportional to 17,414.87, 24,032.14 and 9,457.02 is: 13,050.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,414.87 : 24,032.14 = 9,457.02 : x
  2. Step 2: Convert to fraction form
    17,414.87/24,032.14 = 9,457.02/x
  3. Step 3: Cross multiply
    17,414.87x = 24,032.14 × 9,457.02
  4. Step 4: Simplify right side
    17,414.87x = 227,272,428.62
  5. Step 5: Solve for x
    x = 227,272,428.62/17,414.87
  6. Step 6: Final answer
    x = 13,050.48

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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.