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Finding the Fourth Proportional to 12,257.68, 18,383.28 and 3,493.09

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Solution

The fourth proportional to 12,257.68, 18,383.28 and 3,493.09 is: 5,238.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,257.68 : 18,383.28 = 3,493.09 : x
  2. Step 2: Convert to fraction form
    12,257.68/18,383.28 = 3,493.09/x
  3. Step 3: Cross multiply
    12,257.68x = 18,383.28 × 3,493.09
  4. Step 4: Simplify right side
    12,257.68x = 64,214,451.54
  5. Step 5: Solve for x
    x = 64,214,451.54/12,257.68
  6. Step 6: Final answer
    x = 5,238.71

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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.