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Finding the Fourth Proportional to 16,543.80, 24,819.75 and 8,227.74

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Solution

The fourth proportional to 16,543.80, 24,819.75 and 8,227.74 is: 12,343.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,543.80 : 24,819.75 = 8,227.74 : x
  2. Step 2: Convert to fraction form
    16,543.80/24,819.75 = 8,227.74/x
  3. Step 3: Cross multiply
    16,543.80x = 24,819.75 × 8,227.74
  4. Step 4: Simplify right side
    16,543.80x = 204,210,449.87
  5. Step 5: Solve for x
    x = 204,210,449.87/16,543.80
  6. Step 6: Final answer
    x = 12,343.62

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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.