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Finding the Fourth Proportional to 25,680.39, 38,524.80 and 8,154.42

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Solution

The fourth proportional to 25,680.39, 38,524.80 and 8,154.42 is: 12,232.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,680.39 : 38,524.80 = 8,154.42 : x
  2. Step 2: Convert to fraction form
    25,680.39/38,524.80 = 8,154.42/x
  3. Step 3: Cross multiply
    25,680.39x = 38,524.80 × 8,154.42
  4. Step 4: Simplify right side
    25,680.39x = 314,147,399.62
  5. Step 5: Solve for x
    x = 314,147,399.62/25,680.39
  6. Step 6: Final answer
    x = 12,232.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.