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Finding the Fourth Proportional to 12,408.19, 17,122.39 and 8,209.15

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Solution

The fourth proportional to 12,408.19, 17,122.39 and 8,209.15 is: 11,328.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,408.19 : 17,122.39 = 8,209.15 : x
  2. Step 2: Convert to fraction form
    12,408.19/17,122.39 = 8,209.15/x
  3. Step 3: Cross multiply
    12,408.19x = 17,122.39 × 8,209.15
  4. Step 4: Simplify right side
    12,408.19x = 140,560,267.87
  5. Step 5: Solve for x
    x = 140,560,267.87/12,408.19
  6. Step 6: Final answer
    x = 11,328.02

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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.