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Finding the Fourth Proportional to 12,441.22, 17,172.41 and 8,195.38

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Solution

The fourth proportional to 12,441.22, 17,172.41 and 8,195.38 is: 11,311.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,441.22 : 17,172.41 = 8,195.38 : x
  2. Step 2: Convert to fraction form
    12,441.22/17,172.41 = 8,195.38/x
  3. Step 3: Cross multiply
    12,441.22x = 17,172.41 × 8,195.38
  4. Step 4: Simplify right side
    12,441.22x = 140,734,298.63
  5. Step 5: Solve for x
    x = 140,734,298.63/12,441.22
  6. Step 6: Final answer
    x = 11,311.94

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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.