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Finding the Fourth Proportional to 25,785.62, 38,680.86 and 8,251.28

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Solution

The fourth proportional to 25,785.62, 38,680.86 and 8,251.28 is: 12,377.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,785.62 : 38,680.86 = 8,251.28 : x
  2. Step 2: Convert to fraction form
    25,785.62/38,680.86 = 8,251.28/x
  3. Step 3: Cross multiply
    25,785.62x = 38,680.86 × 8,251.28
  4. Step 4: Simplify right side
    25,785.62x = 319,166,606.50
  5. Step 5: Solve for x
    x = 319,166,606.50/25,785.62
  6. Step 6: Final answer
    x = 12,377.70

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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.