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Finding the Fourth Proportional to 22,540.43, 33,812.89 and 7,747.40

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Solution

The fourth proportional to 22,540.43, 33,812.89 and 7,747.40 is: 11,621.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,540.43 : 33,812.89 = 7,747.40 : x
  2. Step 2: Convert to fraction form
    22,540.43/33,812.89 = 7,747.40/x
  3. Step 3: Cross multiply
    22,540.43x = 33,812.89 × 7,747.40
  4. Step 4: Simplify right side
    22,540.43x = 261,961,902.53
  5. Step 5: Solve for x
    x = 261,961,902.53/22,540.43
  6. Step 6: Final answer
    x = 11,621.87

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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.