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Finding the Fourth Proportional to 13,691.31, 20,540.61 and 4,331.57

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Solution

The fourth proportional to 13,691.31, 20,540.61 and 4,331.57 is: 6,498.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,691.31 : 20,540.61 = 4,331.57 : x
  2. Step 2: Convert to fraction form
    13,691.31/20,540.61 = 4,331.57/x
  3. Step 3: Cross multiply
    13,691.31x = 20,540.61 × 4,331.57
  4. Step 4: Simplify right side
    13,691.31x = 88,972,987.35
  5. Step 5: Solve for x
    x = 88,972,987.35/13,691.31
  6. Step 6: Final answer
    x = 6,498.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.