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Finding the Fourth Proportional to 20,114.24, 30,190.56 and 12,338.24

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Solution

The fourth proportional to 20,114.24, 30,190.56 and 12,338.24 is: 18,519.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,114.24 : 30,190.56 = 12,338.24 : x
  2. Step 2: Convert to fraction form
    20,114.24/30,190.56 = 12,338.24/x
  3. Step 3: Cross multiply
    20,114.24x = 30,190.56 × 12,338.24
  4. Step 4: Simplify right side
    20,114.24x = 372,498,375.01
  5. Step 5: Solve for x
    x = 372,498,375.01/20,114.24
  6. Step 6: Final answer
    x = 18,519.14

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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.