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Finding the Fourth Proportional to 22,301.92, 33,447.70 and 6,502.87

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Solution

The fourth proportional to 22,301.92, 33,447.70 and 6,502.87 is: 9,752.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,301.92 : 33,447.70 = 6,502.87 : x
  2. Step 2: Convert to fraction form
    22,301.92/33,447.70 = 6,502.87/x
  3. Step 3: Cross multiply
    22,301.92x = 33,447.70 × 6,502.87
  4. Step 4: Simplify right side
    22,301.92x = 217,506,044.90
  5. Step 5: Solve for x
    x = 217,506,044.90/22,301.92
  6. Step 6: Final answer
    x = 9,752.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.