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Finding the Fourth Proportional to 12,651.82, 18,977.69 and 3,767.11

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Solution

The fourth proportional to 12,651.82, 18,977.69 and 3,767.11 is: 5,650.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,651.82 : 18,977.69 = 3,767.11 : x
  2. Step 2: Convert to fraction form
    12,651.82/18,977.69 = 3,767.11/x
  3. Step 3: Cross multiply
    12,651.82x = 18,977.69 × 3,767.11
  4. Step 4: Simplify right side
    12,651.82x = 71,491,007.75
  5. Step 5: Solve for x
    x = 71,491,007.75/12,651.82
  6. Step 6: Final answer
    x = 5,650.65

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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.