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Finding the Fourth Proportional to 12,453.66, 18,680.49 and 8,546.22

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Solution

The fourth proportional to 12,453.66, 18,680.49 and 8,546.22 is: 12,819.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,453.66 : 18,680.49 = 8,546.22 : x
  2. Step 2: Convert to fraction form
    12,453.66/18,680.49 = 8,546.22/x
  3. Step 3: Cross multiply
    12,453.66x = 18,680.49 × 8,546.22
  4. Step 4: Simplify right side
    12,453.66x = 159,647,577.25
  5. Step 5: Solve for x
    x = 159,647,577.25/12,453.66
  6. Step 6: Final answer
    x = 12,819.33

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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.