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Finding the Fourth Proportional to 12,463.50, 18,696.33 and 3,229.50

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Solution

The fourth proportional to 12,463.50, 18,696.33 and 3,229.50 is: 4,844.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,463.50 : 18,696.33 = 3,229.50 : x
  2. Step 2: Convert to fraction form
    12,463.50/18,696.33 = 3,229.50/x
  3. Step 3: Cross multiply
    12,463.50x = 18,696.33 × 3,229.50
  4. Step 4: Simplify right side
    12,463.50x = 60,379,797.74
  5. Step 5: Solve for x
    x = 60,379,797.74/12,463.50
  6. Step 6: Final answer
    x = 4,844.53

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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.