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Finding the Fourth Proportional to 12,443.19, 18,676.50 and 8,286.10

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Solution

The fourth proportional to 12,443.19, 18,676.50 and 8,286.10 is: 12,436.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,443.19 : 18,676.50 = 8,286.10 : x
  2. Step 2: Convert to fraction form
    12,443.19/18,676.50 = 8,286.10/x
  3. Step 3: Cross multiply
    12,443.19x = 18,676.50 × 8,286.10
  4. Step 4: Simplify right side
    12,443.19x = 154,755,401.07
  5. Step 5: Solve for x
    x = 154,755,401.07/12,443.19
  6. Step 6: Final answer
    x = 12,436.96

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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.