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Finding the Fourth Proportional to 17,940, 26,915.77 and 5,462.44

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Solution

The fourth proportional to 17,940, 26,915.77 and 5,462.44 is: 8,195.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,940 : 26,915.77 = 5,462.44 : x
  2. Step 2: Convert to fraction form
    17,940/26,915.77 = 5,462.44/x
  3. Step 3: Cross multiply
    17,940x = 26,915.77 × 5,462.44
  4. Step 4: Simplify right side
    17,940x = 147,025,778.68
  5. Step 5: Solve for x
    x = 147,025,778.68/17,940
  6. Step 6: Final answer
    x = 8,195.42

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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.