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Finding the Fourth Proportional to 25,872.80, 38,794.80 and 11,079.20

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Solution

The fourth proportional to 25,872.80, 38,794.80 and 11,079.20 is: 16,612.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,872.80 : 38,794.80 = 11,079.20 : x
  2. Step 2: Convert to fraction form
    25,872.80/38,794.80 = 11,079.20/x
  3. Step 3: Cross multiply
    25,872.80x = 38,794.80 × 11,079.20
  4. Step 4: Simplify right side
    25,872.80x = 429,815,348.16
  5. Step 5: Solve for x
    x = 429,815,348.16/25,872.80
  6. Step 6: Final answer
    x = 16,612.63

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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.