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Finding the Fourth Proportional to 19,862.38, 29,786.96 and 8,013.09

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Solution

The fourth proportional to 19,862.38, 29,786.96 and 8,013.09 is: 12,016.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,862.38 : 29,786.96 = 8,013.09 : x
  2. Step 2: Convert to fraction form
    19,862.38/29,786.96 = 8,013.09/x
  3. Step 3: Cross multiply
    19,862.38x = 29,786.96 × 8,013.09
  4. Step 4: Simplify right side
    19,862.38x = 238,685,591.31
  5. Step 5: Solve for x
    x = 238,685,591.31/19,862.38
  6. Step 6: Final answer
    x = 12,016.97

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1.5x scale

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.