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Finding the Fourth Proportional to 12,207.80, 16,843.72 and 7,104.15

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Solution

The fourth proportional to 12,207.80, 16,843.72 and 7,104.15 is: 9,801.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,207.80 : 16,843.72 = 7,104.15 : x
  2. Step 2: Convert to fraction form
    12,207.80/16,843.72 = 7,104.15/x
  3. Step 3: Cross multiply
    12,207.80x = 16,843.72 × 7,104.15
  4. Step 4: Simplify right side
    12,207.80x = 119,660,295.68
  5. Step 5: Solve for x
    x = 119,660,295.68/12,207.80
  6. Step 6: Final answer
    x = 9,801.96

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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.