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Finding the Fourth Proportional to 20,131.74, 30,175.52 and 9,023.13

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Solution

The fourth proportional to 20,131.74, 30,175.52 and 9,023.13 is: 13,524.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,131.74 : 30,175.52 = 9,023.13 : x
  2. Step 2: Convert to fraction form
    20,131.74/30,175.52 = 9,023.13/x
  3. Step 3: Cross multiply
    20,131.74x = 30,175.52 × 9,023.13
  4. Step 4: Simplify right side
    20,131.74x = 272,277,594.66
  5. Step 5: Solve for x
    x = 272,277,594.66/20,131.74
  6. Step 6: Final answer
    x = 13,524.79

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