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Finding the Fourth Proportional to 12,546.17, 18,822.42 and 8,855.61

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Solution

The fourth proportional to 12,546.17, 18,822.42 and 8,855.61 is: 13,285.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,546.17 : 18,822.42 = 8,855.61 : x
  2. Step 2: Convert to fraction form
    12,546.17/18,822.42 = 8,855.61/x
  3. Step 3: Cross multiply
    12,546.17x = 18,822.42 × 8,855.61
  4. Step 4: Simplify right side
    12,546.17x = 166,684,010.78
  5. Step 5: Solve for x
    x = 166,684,010.78/12,546.17
  6. Step 6: Final answer
    x = 13,285.65

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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.