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Finding the Fourth Proportional to 20,102.97, 27,743.00 and 11,149.88

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Solution

The fourth proportional to 20,102.97, 27,743.00 and 11,149.88 is: 15,387.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,102.97 : 27,743.00 = 11,149.88 : x
  2. Step 2: Convert to fraction form
    20,102.97/27,743.00 = 11,149.88/x
  3. Step 3: Cross multiply
    20,102.97x = 27,743.00 × 11,149.88
  4. Step 4: Simplify right side
    20,102.97x = 309,330,926.38
  5. Step 5: Solve for x
    x = 309,330,926.38/20,102.97
  6. Step 6: Final answer
    x = 15,387.32

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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.