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Finding the Fourth Proportional to 16,502.13, 22,773.96 and 9,428.40

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Solution

The fourth proportional to 16,502.13, 22,773.96 and 9,428.40 is: 13,011.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,502.13 : 22,773.96 = 9,428.40 : x
  2. Step 2: Convert to fraction form
    16,502.13/22,773.96 = 9,428.40/x
  3. Step 3: Cross multiply
    16,502.13x = 22,773.96 × 9,428.40
  4. Step 4: Simplify right side
    16,502.13x = 214,722,004.46
  5. Step 5: Solve for x
    x = 214,722,004.46/16,502.13
  6. Step 6: Final answer
    x = 13,011.78

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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.