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Finding the Fourth Proportional to 13,674.66, 20,511.99 and 3,286.41

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Solution

The fourth proportional to 13,674.66, 20,511.99 and 3,286.41 is: 4,929.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,674.66 : 20,511.99 = 3,286.41 : x
  2. Step 2: Convert to fraction form
    13,674.66/20,511.99 = 3,286.41/x
  3. Step 3: Cross multiply
    13,674.66x = 20,511.99 × 3,286.41
  4. Step 4: Simplify right side
    13,674.66x = 67,410,690.06
  5. Step 5: Solve for x
    x = 67,410,690.06/13,674.66
  6. Step 6: Final answer
    x = 4,929.61

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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.