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Finding the Fourth Proportional to 16,502.31, 22,773.11 and 8,948.61

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Solution

The fourth proportional to 16,502.31, 22,773.11 and 8,948.61 is: 12,349.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,502.31 : 22,773.11 = 8,948.61 : x
  2. Step 2: Convert to fraction form
    16,502.31/22,773.11 = 8,948.61/x
  3. Step 3: Cross multiply
    16,502.31x = 22,773.11 × 8,948.61
  4. Step 4: Simplify right side
    16,502.31x = 203,787,635.13
  5. Step 5: Solve for x
    x = 203,787,635.13/16,502.31
  6. Step 6: Final answer
    x = 12,349.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.