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Finding the Fourth Proportional to 16,861.24, 25,299.10 and 8,096.20

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Solution

The fourth proportional to 16,861.24, 25,299.10 and 8,096.20 is: 12,147.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,861.24 : 25,299.10 = 8,096.20 : x
  2. Step 2: Convert to fraction form
    16,861.24/25,299.10 = 8,096.20/x
  3. Step 3: Cross multiply
    16,861.24x = 25,299.10 × 8,096.20
  4. Step 4: Simplify right side
    16,861.24x = 204,826,573.42
  5. Step 5: Solve for x
    x = 204,826,573.42/16,861.24
  6. Step 6: Final answer
    x = 12,147.78

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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.