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Finding the Fourth Proportional to 25,694.32, 38,540.88 and 11,843.32

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Solution

The fourth proportional to 25,694.32, 38,540.88 and 11,843.32 is: 17,764.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,694.32 : 38,540.88 = 11,843.32 : x
  2. Step 2: Convert to fraction form
    25,694.32/38,540.88 = 11,843.32/x
  3. Step 3: Cross multiply
    25,694.32x = 38,540.88 × 11,843.32
  4. Step 4: Simplify right side
    25,694.32x = 456,451,974.92
  5. Step 5: Solve for x
    x = 456,451,974.92/25,694.32
  6. Step 6: Final answer
    x = 17,764.70

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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.