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Finding the Fourth Proportional to 12,443.92, 18,659.44 and 3,677.76

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Solution

The fourth proportional to 12,443.92, 18,659.44 and 3,677.76 is: 5,514.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,443.92 : 18,659.44 = 3,677.76 : x
  2. Step 2: Convert to fraction form
    12,443.92/18,659.44 = 3,677.76/x
  3. Step 3: Cross multiply
    12,443.92x = 18,659.44 × 3,677.76
  4. Step 4: Simplify right side
    12,443.92x = 68,624,942.05
  5. Step 5: Solve for x
    x = 68,624,942.05/12,443.92
  6. Step 6: Final answer
    x = 5,514.74

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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.