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Finding the Fourth Proportional to 25,793.13, 38,695.38 and 8,264.73

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Solution

The fourth proportional to 25,793.13, 38,695.38 and 8,264.73 is: 12,398.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,793.13 : 38,695.38 = 8,264.73 : x
  2. Step 2: Convert to fraction form
    25,793.13/38,695.38 = 8,264.73/x
  3. Step 3: Cross multiply
    25,793.13x = 38,695.38 × 8,264.73
  4. Step 4: Simplify right side
    25,793.13x = 319,806,867.95
  5. Step 5: Solve for x
    x = 319,806,867.95/25,793.13
  6. Step 6: Final answer
    x = 12,398.92

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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.