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Finding the Fourth Proportional to 20,098.22, 30,146.96 and 8,249.42

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Solution

The fourth proportional to 20,098.22, 30,146.96 and 8,249.42 is: 12,373.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,098.22 : 30,146.96 = 8,249.42 : x
  2. Step 2: Convert to fraction form
    20,098.22/30,146.96 = 8,249.42/x
  3. Step 3: Cross multiply
    20,098.22x = 30,146.96 × 8,249.42
  4. Step 4: Simplify right side
    20,098.22x = 248,694,804.65
  5. Step 5: Solve for x
    x = 248,694,804.65/20,098.22
  6. Step 6: Final answer
    x = 12,373.97

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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.