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Finding the Fourth Proportional to 16,262.97, 24,391.90 and 5,168.20

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Solution

The fourth proportional to 16,262.97, 24,391.90 and 5,168.20 is: 7,751.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,262.97 : 24,391.90 = 5,168.20 : x
  2. Step 2: Convert to fraction form
    16,262.97/24,391.90 = 5,168.20/x
  3. Step 3: Cross multiply
    16,262.97x = 24,391.90 × 5,168.20
  4. Step 4: Simplify right side
    16,262.97x = 126,062,217.58
  5. Step 5: Solve for x
    x = 126,062,217.58/16,262.97
  6. Step 6: Final answer
    x = 7,751.49

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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.