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Finding the Fourth Proportional to 20,139.64, 27,791.18 and 11,186.38

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Solution

The fourth proportional to 20,139.64, 27,791.18 and 11,186.38 is: 15,436.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,139.64 : 27,791.18 = 11,186.38 : x
  2. Step 2: Convert to fraction form
    20,139.64/27,791.18 = 11,186.38/x
  3. Step 3: Cross multiply
    20,139.64x = 27,791.18 × 11,186.38
  4. Step 4: Simplify right side
    20,139.64x = 310,882,700.13
  5. Step 5: Solve for x
    x = 310,882,700.13/20,139.64
  6. Step 6: Final answer
    x = 15,436.36

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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.