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Finding the Fourth Proportional to 20,131.87, 30,171.07 and 9,036.49

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Solution

The fourth proportional to 20,131.87, 30,171.07 and 9,036.49 is: 13,542.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,131.87 : 30,171.07 = 9,036.49 : x
  2. Step 2: Convert to fraction form
    20,131.87/30,171.07 = 9,036.49/x
  3. Step 3: Cross multiply
    20,131.87x = 30,171.07 × 9,036.49
  4. Step 4: Simplify right side
    20,131.87x = 272,640,572.34
  5. Step 5: Solve for x
    x = 272,640,572.34/20,131.87
  6. Step 6: Final answer
    x = 13,542.73

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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.