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Finding the Fourth Proportional to 26,408.70, 39,614.49 and 6,687.42

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Solution

The fourth proportional to 26,408.70, 39,614.49 and 6,687.42 is: 10,031.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,408.70 : 39,614.49 = 6,687.42 : x
  2. Step 2: Convert to fraction form
    26,408.70/39,614.49 = 6,687.42/x
  3. Step 3: Cross multiply
    26,408.70x = 39,614.49 × 6,687.42
  4. Step 4: Simplify right side
    26,408.70x = 264,918,819.05
  5. Step 5: Solve for x
    x = 264,918,819.05/26,408.70
  6. Step 6: Final answer
    x = 10,031.50

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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.