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Finding the Fourth Proportional to 20,086.80, 30,129.12 and 9,666.96

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Solution

The fourth proportional to 20,086.80, 30,129.12 and 9,666.96 is: 14,499.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,086.80 : 30,129.12 = 9,666.96 : x
  2. Step 2: Convert to fraction form
    20,086.80/30,129.12 = 9,666.96/x
  3. Step 3: Cross multiply
    20,086.80x = 30,129.12 × 9,666.96
  4. Step 4: Simplify right side
    20,086.80x = 291,256,997.88
  5. Step 5: Solve for x
    x = 291,256,997.88/20,086.80
  6. Step 6: Final answer
    x = 14,499.92

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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.