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Finding the Fourth Proportional to 20,138.76, 27,791.86 and 11,187.08

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Solution

The fourth proportional to 20,138.76, 27,791.86 and 11,187.08 is: 15,438.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,138.76 : 27,791.86 = 11,187.08 : x
  2. Step 2: Convert to fraction form
    20,138.76/27,791.86 = 11,187.08/x
  3. Step 3: Cross multiply
    20,138.76x = 27,791.86 × 11,187.08
  4. Step 4: Simplify right side
    20,138.76x = 310,909,761.17
  5. Step 5: Solve for x
    x = 310,909,761.17/20,138.76
  6. Step 6: Final answer
    x = 15,438.38

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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.