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Finding the Fourth Proportional to 16,198.97, 22,354.58 and 9,125.39

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Solution

The fourth proportional to 16,198.97, 22,354.58 and 9,125.39 is: 12,593.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,198.97 : 22,354.58 = 9,125.39 : x
  2. Step 2: Convert to fraction form
    16,198.97/22,354.58 = 9,125.39/x
  3. Step 3: Cross multiply
    16,198.97x = 22,354.58 × 9,125.39
  4. Step 4: Simplify right side
    16,198.97x = 203,994,103.39
  5. Step 5: Solve for x
    x = 203,994,103.39/16,198.97
  6. Step 6: Final answer
    x = 12,593.03

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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.