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Finding the Fourth Proportional to 12,400.68, 18,601.68 and 3,635.76

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Solution

The fourth proportional to 12,400.68, 18,601.68 and 3,635.76 is: 5,453.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,400.68 : 18,601.68 = 3,635.76 : x
  2. Step 2: Convert to fraction form
    12,400.68/18,601.68 = 3,635.76/x
  3. Step 3: Cross multiply
    12,400.68x = 18,601.68 × 3,635.76
  4. Step 4: Simplify right side
    12,400.68x = 67,631,244.08
  5. Step 5: Solve for x
    x = 67,631,244.08/12,400.68
  6. Step 6: Final answer
    x = 5,453.83

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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.