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Finding the Fourth Proportional to 12,451.68, 18,680.49 and 4,660.56

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Solution

The fourth proportional to 12,451.68, 18,680.49 and 4,660.56 is: 6,991.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,451.68 : 18,680.49 = 4,660.56 : x
  2. Step 2: Convert to fraction form
    12,451.68/18,680.49 = 4,660.56/x
  3. Step 3: Cross multiply
    12,451.68x = 18,680.49 × 4,660.56
  4. Step 4: Simplify right side
    12,451.68x = 87,061,544.47
  5. Step 5: Solve for x
    x = 87,061,544.47/12,451.68
  6. Step 6: Final answer
    x = 6,991.95

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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.