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Finding the Fourth Proportional to 16,489.31, 22,758.17 and 12,503.70

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Solution

The fourth proportional to 16,489.31, 22,758.17 and 12,503.70 is: 17,257.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,489.31 : 22,758.17 = 12,503.70 : x
  2. Step 2: Convert to fraction form
    16,489.31/22,758.17 = 12,503.70/x
  3. Step 3: Cross multiply
    16,489.31x = 22,758.17 × 12,503.70
  4. Step 4: Simplify right side
    16,489.31x = 284,561,267.71
  5. Step 5: Solve for x
    x = 284,561,267.71/16,489.31
  6. Step 6: Final answer
    x = 17,257.32

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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.