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Finding the Fourth Proportional to 12,843.34, 19,251.84 and 8,166.80

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Solution

The fourth proportional to 12,843.34, 19,251.84 and 8,166.80 is: 12,241.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,843.34 : 19,251.84 = 8,166.80 : x
  2. Step 2: Convert to fraction form
    12,843.34/19,251.84 = 8,166.80/x
  3. Step 3: Cross multiply
    12,843.34x = 19,251.84 × 8,166.80
  4. Step 4: Simplify right side
    12,843.34x = 157,226,005.67
  5. Step 5: Solve for x
    x = 157,226,005.67/12,843.34
  6. Step 6: Final answer
    x = 12,241.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.