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Finding the Fourth Proportional to 20,203.74, 27,881.84 and 11,591.42

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Solution

The fourth proportional to 20,203.74, 27,881.84 and 11,591.42 is: 15,996.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,203.74 : 27,881.84 = 11,591.42 : x
  2. Step 2: Convert to fraction form
    20,203.74/27,881.84 = 11,591.42/x
  3. Step 3: Cross multiply
    20,203.74x = 27,881.84 × 11,591.42
  4. Step 4: Simplify right side
    20,203.74x = 323,190,007.38
  5. Step 5: Solve for x
    x = 323,190,007.38/20,203.74
  6. Step 6: Final answer
    x = 15,996.54

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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.