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Finding the Fourth Proportional to 16,306.32, 22,502.84 and 9,592.24

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Solution

The fourth proportional to 16,306.32, 22,502.84 and 9,592.24 is: 13,237.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,306.32 : 22,502.84 = 9,592.24 : x
  2. Step 2: Convert to fraction form
    16,306.32/22,502.84 = 9,592.24/x
  3. Step 3: Cross multiply
    16,306.32x = 22,502.84 × 9,592.24
  4. Step 4: Simplify right side
    16,306.32x = 215,852,641.96
  5. Step 5: Solve for x
    x = 215,852,641.96/16,306.32
  6. Step 6: Final answer
    x = 13,237.36

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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.