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Finding the Fourth Proportional to 12,046.92, 18,063.78 and 3,724.68

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Solution

The fourth proportional to 12,046.92, 18,063.78 and 3,724.68 is: 5,584.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,046.92 : 18,063.78 = 3,724.68 : x
  2. Step 2: Convert to fraction form
    12,046.92/18,063.78 = 3,724.68/x
  3. Step 3: Cross multiply
    12,046.92x = 18,063.78 × 3,724.68
  4. Step 4: Simplify right side
    12,046.92x = 67,281,800.09
  5. Step 5: Solve for x
    x = 67,281,800.09/12,046.92
  6. Step 6: Final answer
    x = 5,584.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.