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Finding the Fourth Proportional to 13,869.50, 20,819.03 and 6,481.08

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Solution

The fourth proportional to 13,869.50, 20,819.03 and 6,481.08 is: 9,728.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,869.50 : 20,819.03 = 6,481.08 : x
  2. Step 2: Convert to fraction form
    13,869.50/20,819.03 = 6,481.08/x
  3. Step 3: Cross multiply
    13,869.50x = 20,819.03 × 6,481.08
  4. Step 4: Simplify right side
    13,869.50x = 134,929,766.55
  5. Step 5: Solve for x
    x = 134,929,766.55/13,869.50
  6. Step 6: Final answer
    x = 9,728.53

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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.