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Finding the Fourth Proportional to 20,138.61, 27,791.67 and 11,186.97

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Solution

The fourth proportional to 20,138.61, 27,791.67 and 11,186.97 is: 15,438.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,138.61 : 27,791.67 = 11,186.97 : x
  2. Step 2: Convert to fraction form
    20,138.61/27,791.67 = 11,186.97/x
  3. Step 3: Cross multiply
    20,138.61x = 27,791.67 × 11,186.97
  4. Step 4: Simplify right side
    20,138.61x = 310,904,578.54
  5. Step 5: Solve for x
    x = 310,904,578.54/20,138.61
  6. Step 6: Final answer
    x = 15,438.23

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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.