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Finding the Fourth Proportional to 25,785.88, 38,684.49 and 8,257.48

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Solution

The fourth proportional to 25,785.88, 38,684.49 and 8,257.48 is: 12,388.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,785.88 : 38,684.49 = 8,257.48 : x
  2. Step 2: Convert to fraction form
    25,785.88/38,684.49 = 8,257.48/x
  3. Step 3: Cross multiply
    25,785.88x = 38,684.49 × 8,257.48
  4. Step 4: Simplify right side
    25,785.88x = 319,436,402.49
  5. Step 5: Solve for x
    x = 319,436,402.49/25,785.88
  6. Step 6: Final answer
    x = 12,388.04

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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.