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Finding the Fourth Proportional to 16,551, 24,820.38 and 5,454.48

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Solution

The fourth proportional to 16,551, 24,820.38 and 5,454.48 is: 8,179.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,551 : 24,820.38 = 5,454.48 : x
  2. Step 2: Convert to fraction form
    16,551/24,820.38 = 5,454.48/x
  3. Step 3: Cross multiply
    16,551x = 24,820.38 × 5,454.48
  4. Step 4: Simplify right side
    16,551x = 135,382,266.30
  5. Step 5: Solve for x
    x = 135,382,266.30/16,551
  6. Step 6: Final answer
    x = 8,179.70

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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.