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Finding the Fourth Proportional to 17,614.95, 24,310.16 and 9,658.72

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Solution

The fourth proportional to 17,614.95, 24,310.16 and 9,658.72 is: 13,329.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,614.95 : 24,310.16 = 9,658.72 : x
  2. Step 2: Convert to fraction form
    17,614.95/24,310.16 = 9,658.72/x
  3. Step 3: Cross multiply
    17,614.95x = 24,310.16 × 9,658.72
  4. Step 4: Simplify right side
    17,614.95x = 234,805,046.91
  5. Step 5: Solve for x
    x = 234,805,046.91/17,614.95
  6. Step 6: Final answer
    x = 13,329.88

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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.