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Finding the Fourth Proportional to 19,942.66, 29,906.70 and 8,249.50

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Solution

The fourth proportional to 19,942.66, 29,906.70 and 8,249.50 is: 12,371.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,942.66 : 29,906.70 = 8,249.50 : x
  2. Step 2: Convert to fraction form
    19,942.66/29,906.70 = 8,249.50/x
  3. Step 3: Cross multiply
    19,942.66x = 29,906.70 × 8,249.50
  4. Step 4: Simplify right side
    19,942.66x = 246,715,321.65
  5. Step 5: Solve for x
    x = 246,715,321.65/19,942.66
  6. Step 6: Final answer
    x = 12,371.23

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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.