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Finding the Fourth Proportional to 13,067.67, 19,564.25 and 8,676.39

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Solution

The fourth proportional to 13,067.67, 19,564.25 and 8,676.39 is: 12,989.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,067.67 : 19,564.25 = 8,676.39 : x
  2. Step 2: Convert to fraction form
    13,067.67/19,564.25 = 8,676.39/x
  3. Step 3: Cross multiply
    13,067.67x = 19,564.25 × 8,676.39
  4. Step 4: Simplify right side
    13,067.67x = 169,747,019.68
  5. Step 5: Solve for x
    x = 169,747,019.68/13,067.67
  6. Step 6: Final answer
    x = 12,989.85

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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.