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Finding the Fourth Proportional to 16,469.97, 24,704.69 and 3,989.91

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Solution

The fourth proportional to 16,469.97, 24,704.69 and 3,989.91 is: 5,984.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,469.97 : 24,704.69 = 3,989.91 : x
  2. Step 2: Convert to fraction form
    16,469.97/24,704.69 = 3,989.91/x
  3. Step 3: Cross multiply
    16,469.97x = 24,704.69 × 3,989.91
  4. Step 4: Simplify right side
    16,469.97x = 98,569,469.73
  5. Step 5: Solve for x
    x = 98,569,469.73/16,469.97
  6. Step 6: Final answer
    x = 5,984.80

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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.