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Finding the Fourth Proportional to 22,505.68, 33,755.05 and 7,711.21

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Solution

The fourth proportional to 22,505.68, 33,755.05 and 7,711.21 is: 11,565.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,505.68 : 33,755.05 = 7,711.21 : x
  2. Step 2: Convert to fraction form
    22,505.68/33,755.05 = 7,711.21/x
  3. Step 3: Cross multiply
    22,505.68x = 33,755.05 × 7,711.21
  4. Step 4: Simplify right side
    22,505.68x = 260,292,279.11
  5. Step 5: Solve for x
    x = 260,292,279.11/22,505.68
  6. Step 6: Final answer
    x = 11,565.63

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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.