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Finding the Fourth Proportional to 26,805.44, 40,195.13 and 8,082

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Solution

The fourth proportional to 26,805.44, 40,195.13 and 8,082 is: 12,119.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,805.44 : 40,195.13 = 8,082 : x
  2. Step 2: Convert to fraction form
    26,805.44/40,195.13 = 8,082/x
  3. Step 3: Cross multiply
    26,805.44x = 40,195.13 × 8,082
  4. Step 4: Simplify right side
    26,805.44x = 324,857,000.25
  5. Step 5: Solve for x
    x = 324,857,000.25/26,805.44
  6. Step 6: Final answer
    x = 12,119.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.