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Finding the Fourth Proportional to 12,224.40, 18,334.20 and 3,902.18

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Solution

The fourth proportional to 12,224.40, 18,334.20 and 3,902.18 is: 5,852.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,224.40 : 18,334.20 = 3,902.18 : x
  2. Step 2: Convert to fraction form
    12,224.40/18,334.20 = 3,902.18/x
  3. Step 3: Cross multiply
    12,224.40x = 18,334.20 × 3,902.18
  4. Step 4: Simplify right side
    12,224.40x = 71,543,348.56
  5. Step 5: Solve for x
    x = 71,543,348.56/12,224.40
  6. Step 6: Final answer
    x = 5,852.50

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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.