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Finding the Fourth Proportional to 14,688.92, 22,016.98 and 6,375.90

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Solution

The fourth proportional to 14,688.92, 22,016.98 and 6,375.90 is: 9,556.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,688.92 : 22,016.98 = 6,375.90 : x
  2. Step 2: Convert to fraction form
    14,688.92/22,016.98 = 6,375.90/x
  3. Step 3: Cross multiply
    14,688.92x = 22,016.98 × 6,375.90
  4. Step 4: Simplify right side
    14,688.92x = 140,378,062.78
  5. Step 5: Solve for x
    x = 140,378,062.78/14,688.92
  6. Step 6: Final answer
    x = 9,556.73

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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.