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Finding the Fourth Proportional to 25,750.92, 38,601.72 and 8,209.38

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Solution

The fourth proportional to 25,750.92, 38,601.72 and 8,209.38 is: 12,306.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,750.92 : 38,601.72 = 8,209.38 : x
  2. Step 2: Convert to fraction form
    25,750.92/38,601.72 = 8,209.38/x
  3. Step 3: Cross multiply
    25,750.92x = 38,601.72 × 8,209.38
  4. Step 4: Simplify right side
    25,750.92x = 316,896,188.13
  5. Step 5: Solve for x
    x = 316,896,188.13/25,750.92
  6. Step 6: Final answer
    x = 12,306.21

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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.