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Finding the Fourth Proportional to 19,863.72, 29,794.82 and 8,013.82

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Solution

The fourth proportional to 19,863.72, 29,794.82 and 8,013.82 is: 12,020.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,863.72 : 29,794.82 = 8,013.82 : x
  2. Step 2: Convert to fraction form
    19,863.72/29,794.82 = 8,013.82/x
  3. Step 3: Cross multiply
    19,863.72x = 29,794.82 × 8,013.82
  4. Step 4: Simplify right side
    19,863.72x = 238,770,324.41
  5. Step 5: Solve for x
    x = 238,770,324.41/19,863.72
  6. Step 6: Final answer
    x = 12,020.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.