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Finding the Fourth Proportional to 22,144.72, 33,217.56 and 8,286.16

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Solution

The fourth proportional to 22,144.72, 33,217.56 and 8,286.16 is: 12,429.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,144.72 : 33,217.56 = 8,286.16 : x
  2. Step 2: Convert to fraction form
    22,144.72/33,217.56 = 8,286.16/x
  3. Step 3: Cross multiply
    22,144.72x = 33,217.56 × 8,286.16
  4. Step 4: Simplify right side
    22,144.72x = 275,246,016.97
  5. Step 5: Solve for x
    x = 275,246,016.97/22,144.72
  6. Step 6: Final answer
    x = 12,429.42

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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.