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Finding the Fourth Proportional to 22,721.92, 31,355.91 and 12,649.97

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Solution

The fourth proportional to 22,721.92, 31,355.91 and 12,649.97 is: 17,456.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,721.92 : 31,355.91 = 12,649.97 : x
  2. Step 2: Convert to fraction form
    22,721.92/31,355.91 = 12,649.97/x
  3. Step 3: Cross multiply
    22,721.92x = 31,355.91 × 12,649.97
  4. Step 4: Simplify right side
    22,721.92x = 396,651,399.21
  5. Step 5: Solve for x
    x = 396,651,399.21/22,721.92
  6. Step 6: Final answer
    x = 17,456.77

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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.