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Finding the Fourth Proportional to 22,147.20, 33,227.20 and 6,565.20

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Solution

The fourth proportional to 22,147.20, 33,227.20 and 6,565.20 is: 9,849.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,147.20 : 33,227.20 = 6,565.20 : x
  2. Step 2: Convert to fraction form
    22,147.20/33,227.20 = 6,565.20/x
  3. Step 3: Cross multiply
    22,147.20x = 33,227.20 × 6,565.20
  4. Step 4: Simplify right side
    22,147.20x = 218,143,213.44
  5. Step 5: Solve for x
    x = 218,143,213.44/22,147.20
  6. Step 6: Final answer
    x = 9,849.70

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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.