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Finding the Fourth Proportional to 25,373.80, 38,061.78 and 7,843.96

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Solution

The fourth proportional to 25,373.80, 38,061.78 and 7,843.96 is: 11,766.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,373.80 : 38,061.78 = 7,843.96 : x
  2. Step 2: Convert to fraction form
    25,373.80/38,061.78 = 7,843.96/x
  3. Step 3: Cross multiply
    25,373.80x = 38,061.78 × 7,843.96
  4. Step 4: Simplify right side
    25,373.80x = 298,555,079.85
  5. Step 5: Solve for x
    x = 298,555,079.85/25,373.80
  6. Step 6: Final answer
    x = 11,766.27

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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.