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Finding the Fourth Proportional to 19,872.92, 29,790.85 and 6,716.09

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Solution

The fourth proportional to 19,872.92, 29,790.85 and 6,716.09 is: 10,067.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,872.92 : 29,790.85 = 6,716.09 : x
  2. Step 2: Convert to fraction form
    19,872.92/29,790.85 = 6,716.09/x
  3. Step 3: Cross multiply
    19,872.92x = 29,790.85 × 6,716.09
  4. Step 4: Simplify right side
    19,872.92x = 200,078,029.78
  5. Step 5: Solve for x
    x = 200,078,029.78/19,872.92
  6. Step 6: Final answer
    x = 10,067.87

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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.