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Finding the Fourth Proportional to 20,158.25, 30,243.49 and 8,144.24

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Solution

The fourth proportional to 20,158.25, 30,243.49 and 8,144.24 is: 12,218.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,158.25 : 30,243.49 = 8,144.24 : x
  2. Step 2: Convert to fraction form
    20,158.25/30,243.49 = 8,144.24/x
  3. Step 3: Cross multiply
    20,158.25x = 30,243.49 × 8,144.24
  4. Step 4: Simplify right side
    20,158.25x = 246,310,069.42
  5. Step 5: Solve for x
    x = 246,310,069.42/20,158.25
  6. Step 6: Final answer
    x = 12,218.83

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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.