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Finding the Fourth Proportional to 25,524.56, 38,286.84 and 7,995.75

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Solution

The fourth proportional to 25,524.56, 38,286.84 and 7,995.75 is: 11,993.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,524.56 : 38,286.84 = 7,995.75 : x
  2. Step 2: Convert to fraction form
    25,524.56/38,286.84 = 7,995.75/x
  3. Step 3: Cross multiply
    25,524.56x = 38,286.84 × 7,995.75
  4. Step 4: Simplify right side
    25,524.56x = 306,132,000.93
  5. Step 5: Solve for x
    x = 306,132,000.93/25,524.56
  6. Step 6: Final answer
    x = 11,993.63

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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.