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Finding the Fourth Proportional to 16,546.88, 24,812 and 5,452.24

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Solution

The fourth proportional to 16,546.88, 24,812 and 5,452.24 is: 8,175.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,546.88 : 24,812 = 5,452.24 : x
  2. Step 2: Convert to fraction form
    16,546.88/24,812 = 5,452.24/x
  3. Step 3: Cross multiply
    16,546.88x = 24,812 × 5,452.24
  4. Step 4: Simplify right side
    16,546.88x = 135,280,978.88
  5. Step 5: Solve for x
    x = 135,280,978.88/16,546.88
  6. Step 6: Final answer
    x = 8,175.62

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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.