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Finding the Fourth Proportional to 14,913.15, 20,578.38 and 8,197.68

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Solution

The fourth proportional to 14,913.15, 20,578.38 and 8,197.68 is: 11,311.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,913.15 : 20,578.38 = 8,197.68 : x
  2. Step 2: Convert to fraction form
    14,913.15/20,578.38 = 8,197.68/x
  3. Step 3: Cross multiply
    14,913.15x = 20,578.38 × 8,197.68
  4. Step 4: Simplify right side
    14,913.15x = 168,694,974.16
  5. Step 5: Solve for x
    x = 168,694,974.16/14,913.15
  6. Step 6: Final answer
    x = 11,311.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.