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Finding the Fourth Proportional to 12,195.23, 16,843.21 and 8,209.42

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Solution

The fourth proportional to 12,195.23, 16,843.21 and 8,209.42 is: 11,338.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,195.23 : 16,843.21 = 8,209.42 : x
  2. Step 2: Convert to fraction form
    12,195.23/16,843.21 = 8,209.42/x
  3. Step 3: Cross multiply
    12,195.23x = 16,843.21 × 8,209.42
  4. Step 4: Simplify right side
    12,195.23x = 138,272,922.41
  5. Step 5: Solve for x
    x = 138,272,922.41/12,195.23
  6. Step 6: Final answer
    x = 11,338.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.