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Finding the Fourth Proportional to 12,578.82, 18,868.50 and 3,813.72

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Solution

The fourth proportional to 12,578.82, 18,868.50 and 3,813.72 is: 5,720.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,578.82 : 18,868.50 = 3,813.72 : x
  2. Step 2: Convert to fraction form
    12,578.82/18,868.50 = 3,813.72/x
  3. Step 3: Cross multiply
    12,578.82x = 18,868.50 × 3,813.72
  4. Step 4: Simplify right side
    12,578.82x = 71,959,175.82
  5. Step 5: Solve for x
    x = 71,959,175.82/12,578.82
  6. Step 6: Final answer
    x = 5,720.66

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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.