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Finding the Fourth Proportional to 23,932.57, 35,915.26 and 8,350.20

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Solution

The fourth proportional to 23,932.57, 35,915.26 and 8,350.20 is: 12,531.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,932.57 : 35,915.26 = 8,350.20 : x
  2. Step 2: Convert to fraction form
    23,932.57/35,915.26 = 8,350.20/x
  3. Step 3: Cross multiply
    23,932.57x = 35,915.26 × 8,350.20
  4. Step 4: Simplify right side
    23,932.57x = 299,899,604.05
  5. Step 5: Solve for x
    x = 299,899,604.05/23,932.57
  6. Step 6: Final answer
    x = 12,531.02

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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.