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Finding the Fourth Proportional to 22,414.38, 33,617.34 and 9,083.88

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Solution

The fourth proportional to 22,414.38, 33,617.34 and 9,083.88 is: 13,624.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,414.38 : 33,617.34 = 9,083.88 : x
  2. Step 2: Convert to fraction form
    22,414.38/33,617.34 = 9,083.88/x
  3. Step 3: Cross multiply
    22,414.38x = 33,617.34 × 9,083.88
  4. Step 4: Simplify right side
    22,414.38x = 305,375,882.48
  5. Step 5: Solve for x
    x = 305,375,882.48/22,414.38
  6. Step 6: Final answer
    x = 13,624.11

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Why These Related Problems?

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