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Finding the Fourth Proportional to 26,469.38, 39,704.38 and 6,748.11

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Solution

The fourth proportional to 26,469.38, 39,704.38 and 6,748.11 is: 10,122.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,469.38 : 39,704.38 = 6,748.11 : x
  2. Step 2: Convert to fraction form
    26,469.38/39,704.38 = 6,748.11/x
  3. Step 3: Cross multiply
    26,469.38x = 39,704.38 × 6,748.11
  4. Step 4: Simplify right side
    26,469.38x = 267,929,506.85
  5. Step 5: Solve for x
    x = 267,929,506.85/26,469.38
  6. Step 6: Final answer
    x = 10,122.24

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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.