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Finding the Fourth Proportional to 12,166.20, 16,780.72 and 7,909.41

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Solution

The fourth proportional to 12,166.20, 16,780.72 and 7,909.41 is: 10,909.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,166.20 : 16,780.72 = 7,909.41 : x
  2. Step 2: Convert to fraction form
    12,166.20/16,780.72 = 7,909.41/x
  3. Step 3: Cross multiply
    12,166.20x = 16,780.72 × 7,909.41
  4. Step 4: Simplify right side
    12,166.20x = 132,725,616.75
  5. Step 5: Solve for x
    x = 132,725,616.75/12,166.20
  6. Step 6: Final answer
    x = 10,909.37

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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.