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Finding the Fourth Proportional to 25,882.38, 38,824.38 and 8,353.98

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Solution

The fourth proportional to 25,882.38, 38,824.38 and 8,353.98 is: 12,531.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,882.38 : 38,824.38 = 8,353.98 : x
  2. Step 2: Convert to fraction form
    25,882.38/38,824.38 = 8,353.98/x
  3. Step 3: Cross multiply
    25,882.38x = 38,824.38 × 8,353.98
  4. Step 4: Simplify right side
    25,882.38x = 324,338,094.03
  5. Step 5: Solve for x
    x = 324,338,094.03/25,882.38
  6. Step 6: Final answer
    x = 12,531.23

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1.5x scale

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.