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Finding the Fourth Proportional to 22,337.80, 33,505.84 and 6,755

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Solution

The fourth proportional to 22,337.80, 33,505.84 and 6,755 is: 10,132.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,337.80 : 33,505.84 = 6,755 : x
  2. Step 2: Convert to fraction form
    22,337.80/33,505.84 = 6,755/x
  3. Step 3: Cross multiply
    22,337.80x = 33,505.84 × 6,755
  4. Step 4: Simplify right side
    22,337.80x = 226,331,949.20
  5. Step 5: Solve for x
    x = 226,331,949.20/22,337.80
  6. Step 6: Final answer
    x = 10,132.24

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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.