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Finding the Fourth Proportional to 13,374.72, 20,067.85 and 6,359.72

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Solution

The fourth proportional to 13,374.72, 20,067.85 and 6,359.72 is: 9,542.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,374.72 : 20,067.85 = 6,359.72 : x
  2. Step 2: Convert to fraction form
    13,374.72/20,067.85 = 6,359.72/x
  3. Step 3: Cross multiply
    13,374.72x = 20,067.85 × 6,359.72
  4. Step 4: Simplify right side
    13,374.72x = 127,625,814.61
  5. Step 5: Solve for x
    x = 127,625,814.61/13,374.72
  6. Step 6: Final answer
    x = 9,542.32

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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.