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Finding the Fourth Proportional to 15,375.68, 23,076.05 and 7,982.25

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Solution

The fourth proportional to 15,375.68, 23,076.05 and 7,982.25 is: 11,979.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,375.68 : 23,076.05 = 7,982.25 : x
  2. Step 2: Convert to fraction form
    15,375.68/23,076.05 = 7,982.25/x
  3. Step 3: Cross multiply
    15,375.68x = 23,076.05 × 7,982.25
  4. Step 4: Simplify right side
    15,375.68x = 184,198,760.20
  5. Step 5: Solve for x
    x = 184,198,760.20/15,375.68
  6. Step 6: Final answer
    x = 11,979.88

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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.