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Finding the Fourth Proportional to 16,468, 24,706.02 and 5,375.20

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Solution

The fourth proportional to 16,468, 24,706.02 and 5,375.20 is: 8,064.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,468 : 24,706.02 = 5,375.20 : x
  2. Step 2: Convert to fraction form
    16,468/24,706.02 = 5,375.20/x
  3. Step 3: Cross multiply
    16,468x = 24,706.02 × 5,375.20
  4. Step 4: Simplify right side
    16,468x = 132,799,798.70
  5. Step 5: Solve for x
    x = 132,799,798.70/16,468
  6. Step 6: Final answer
    x = 8,064.11

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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.