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Finding the Fourth Proportional to 12,195.07, 16,843.08 and 8,209.26

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Solution

The fourth proportional to 12,195.07, 16,843.08 and 8,209.26 is: 11,338.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,195.07 : 16,843.08 = 8,209.26 : x
  2. Step 2: Convert to fraction form
    12,195.07/16,843.08 = 8,209.26/x
  3. Step 3: Cross multiply
    12,195.07x = 16,843.08 × 8,209.26
  4. Step 4: Simplify right side
    12,195.07x = 138,269,222.92
  5. Step 5: Solve for x
    x = 138,269,222.92/12,195.07
  6. Step 6: Final answer
    x = 11,338.12

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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.