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Finding the Fourth Proportional to 12,216.50, 18,323.83 and 3,896.18

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Solution

The fourth proportional to 12,216.50, 18,323.83 and 3,896.18 is: 5,843.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,216.50 : 18,323.83 = 3,896.18 : x
  2. Step 2: Convert to fraction form
    12,216.50/18,323.83 = 3,896.18/x
  3. Step 3: Cross multiply
    12,216.50x = 18,323.83 × 3,896.18
  4. Step 4: Simplify right side
    12,216.50x = 71,392,939.97
  5. Step 5: Solve for x
    x = 71,392,939.97/12,216.50
  6. Step 6: Final answer
    x = 5,843.98

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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.