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Finding the Fourth Proportional to 18,824.20, 28,217.94 and 8,960.83

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Solution

The fourth proportional to 18,824.20, 28,217.94 and 8,960.83 is: 13,432.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,824.20 : 28,217.94 = 8,960.83 : x
  2. Step 2: Convert to fraction form
    18,824.20/28,217.94 = 8,960.83/x
  3. Step 3: Cross multiply
    18,824.20x = 28,217.94 × 8,960.83
  4. Step 4: Simplify right side
    18,824.20x = 252,856,059.14
  5. Step 5: Solve for x
    x = 252,856,059.14/18,824.20
  6. Step 6: Final answer
    x = 13,432.50

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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.