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Finding the Fourth Proportional to 20,067.57, 27,693.78 and 11,115.87

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Solution

The fourth proportional to 20,067.57, 27,693.78 and 11,115.87 is: 15,340.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,067.57 : 27,693.78 = 11,115.87 : x
  2. Step 2: Convert to fraction form
    20,067.57/27,693.78 = 11,115.87/x
  3. Step 3: Cross multiply
    20,067.57x = 27,693.78 × 11,115.87
  4. Step 4: Simplify right side
    20,067.57x = 307,840,458.29
  5. Step 5: Solve for x
    x = 307,840,458.29/20,067.57
  6. Step 6: Final answer
    x = 15,340.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.