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Finding the Fourth Proportional to 12,132.82, 16,745.43 and 11,578.78

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Solution

The fourth proportional to 12,132.82, 16,745.43 and 11,578.78 is: 15,980.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,132.82 : 16,745.43 = 11,578.78 : x
  2. Step 2: Convert to fraction form
    12,132.82/16,745.43 = 11,578.78/x
  3. Step 3: Cross multiply
    12,132.82x = 16,745.43 × 11,578.78
  4. Step 4: Simplify right side
    12,132.82x = 193,891,649.98
  5. Step 5: Solve for x
    x = 193,891,649.98/12,132.82
  6. Step 6: Final answer
    x = 15,980.76

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.