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Finding the Fourth Proportional to 27,202.20, 40,794.65 and 8,729.88

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Solution

The fourth proportional to 27,202.20, 40,794.65 and 8,729.88 is: 13,092.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,202.20 : 40,794.65 = 8,729.88 : x
  2. Step 2: Convert to fraction form
    27,202.20/40,794.65 = 8,729.88/x
  3. Step 3: Cross multiply
    27,202.20x = 40,794.65 × 8,729.88
  4. Step 4: Simplify right side
    27,202.20x = 356,132,399.14
  5. Step 5: Solve for x
    x = 356,132,399.14/27,202.20
  6. Step 6: Final answer
    x = 13,092.04

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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.