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Finding the Fourth Proportional to 22,057.38, 33,086.03 and 9,575.82

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Solution

The fourth proportional to 22,057.38, 33,086.03 and 9,575.82 is: 14,363.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,057.38 : 33,086.03 = 9,575.82 : x
  2. Step 2: Convert to fraction form
    22,057.38/33,086.03 = 9,575.82/x
  3. Step 3: Cross multiply
    22,057.38x = 33,086.03 × 9,575.82
  4. Step 4: Simplify right side
    22,057.38x = 316,825,819.92
  5. Step 5: Solve for x
    x = 316,825,819.92/22,057.38
  6. Step 6: Final answer
    x = 14,363.71

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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.