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Finding the Fourth Proportional to 20,042.97, 27,661.41 and 11,545.44

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Solution

The fourth proportional to 20,042.97, 27,661.41 and 11,545.44 is: 15,933.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,042.97 : 27,661.41 = 11,545.44 : x
  2. Step 2: Convert to fraction form
    20,042.97/27,661.41 = 11,545.44/x
  3. Step 3: Cross multiply
    20,042.97x = 27,661.41 × 11,545.44
  4. Step 4: Simplify right side
    20,042.97x = 319,363,149.47
  5. Step 5: Solve for x
    x = 319,363,149.47/20,042.97
  6. Step 6: Final answer
    x = 15,933.92

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