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Finding the Fourth Proportional to 12,578.82, 18,758.52 and 11,162.76

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Solution

The fourth proportional to 12,578.82, 18,758.52 and 11,162.76 is: 16,646.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,578.82 : 18,758.52 = 11,162.76 : x
  2. Step 2: Convert to fraction form
    12,578.82/18,758.52 = 11,162.76/x
  3. Step 3: Cross multiply
    12,578.82x = 18,758.52 × 11,162.76
  4. Step 4: Simplify right side
    12,578.82x = 209,396,856.72
  5. Step 5: Solve for x
    x = 209,396,856.72/12,578.82
  6. Step 6: Final answer
    x = 16,646.78

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.