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Finding the Fourth Proportional to 16,199.97, 22,355.96 and 9,126.39

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Solution

The fourth proportional to 16,199.97, 22,355.96 and 9,126.39 is: 12,594.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,199.97 : 22,355.96 = 9,126.39 : x
  2. Step 2: Convert to fraction form
    16,199.97/22,355.96 = 9,126.39/x
  3. Step 3: Cross multiply
    16,199.97x = 22,355.96 × 9,126.39
  4. Step 4: Simplify right side
    16,199.97x = 204,029,209.78
  5. Step 5: Solve for x
    x = 204,029,209.78/16,199.97
  6. Step 6: Final answer
    x = 12,594.42

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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.