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Finding the Fourth Proportional to 13,471.92, 18,591.99 and 8,096

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Solution

The fourth proportional to 13,471.92, 18,591.99 and 8,096 is: 11,172.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,471.92 : 18,591.99 = 8,096 : x
  2. Step 2: Convert to fraction form
    13,471.92/18,591.99 = 8,096/x
  3. Step 3: Cross multiply
    13,471.92x = 18,591.99 × 8,096
  4. Step 4: Simplify right side
    13,471.92x = 150,520,751.04
  5. Step 5: Solve for x
    x = 150,520,751.04/13,471.92
  6. Step 6: Final answer
    x = 11,172.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.