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Finding the Fourth Proportional to 22,169.21, 30,593.36 and 12,097.44

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Solution

The fourth proportional to 22,169.21, 30,593.36 and 12,097.44 is: 16,694.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,169.21 : 30,593.36 = 12,097.44 : x
  2. Step 2: Convert to fraction form
    22,169.21/30,593.36 = 12,097.44/x
  3. Step 3: Cross multiply
    22,169.21x = 30,593.36 × 12,097.44
  4. Step 4: Simplify right side
    22,169.21x = 370,101,367.24
  5. Step 5: Solve for x
    x = 370,101,367.24/22,169.21
  6. Step 6: Final answer
    x = 16,694.39

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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.