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Finding the Fourth Proportional to 20,132.80, 30,199.49 and 6,092.96

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Solution

The fourth proportional to 20,132.80, 30,199.49 and 6,092.96 is: 9,139.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,132.80 : 30,199.49 = 6,092.96 : x
  2. Step 2: Convert to fraction form
    20,132.80/30,199.49 = 6,092.96/x
  3. Step 3: Cross multiply
    20,132.80x = 30,199.49 × 6,092.96
  4. Step 4: Simplify right side
    20,132.80x = 184,004,375.32
  5. Step 5: Solve for x
    x = 184,004,375.32/20,132.80
  6. Step 6: Final answer
    x = 9,139.53

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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.