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Finding the Fourth Proportional to 20,199.87, 30,294.18 and 12,080.14

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Solution

The fourth proportional to 20,199.87, 30,294.18 and 12,080.14 is: 18,116.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,199.87 : 30,294.18 = 12,080.14 : x
  2. Step 2: Convert to fraction form
    20,199.87/30,294.18 = 12,080.14/x
  3. Step 3: Cross multiply
    20,199.87x = 30,294.18 × 12,080.14
  4. Step 4: Simplify right side
    20,199.87x = 365,957,859.85
  5. Step 5: Solve for x
    x = 365,957,859.85/20,199.87
  6. Step 6: Final answer
    x = 18,116.84

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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.