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Finding the Fourth Proportional to 22,046.24, 33,082.49 and 8,007.39

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Solution

The fourth proportional to 22,046.24, 33,082.49 and 8,007.39 is: 12,015.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,046.24 : 33,082.49 = 8,007.39 : x
  2. Step 2: Convert to fraction form
    22,046.24/33,082.49 = 8,007.39/x
  3. Step 3: Cross multiply
    22,046.24x = 33,082.49 × 8,007.39
  4. Step 4: Simplify right side
    22,046.24x = 264,904,419.62
  5. Step 5: Solve for x
    x = 264,904,419.62/22,046.24
  6. Step 6: Final answer
    x = 12,015.85

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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.