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Finding the Fourth Proportional to 22,324.30, 33,469.17 and 12,949.90

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Solution

The fourth proportional to 22,324.30, 33,469.17 and 12,949.90 is: 19,414.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,324.30 : 33,469.17 = 12,949.90 : x
  2. Step 2: Convert to fraction form
    22,324.30/33,469.17 = 12,949.90/x
  3. Step 3: Cross multiply
    22,324.30x = 33,469.17 × 12,949.90
  4. Step 4: Simplify right side
    22,324.30x = 433,422,404.58
  5. Step 5: Solve for x
    x = 433,422,404.58/22,324.30
  6. Step 6: Final answer
    x = 19,414.83

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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.