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Finding the Fourth Proportional to 12,213.95, 18,321.56 and 3,449.54

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Solution

The fourth proportional to 12,213.95, 18,321.56 and 3,449.54 is: 5,174.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,213.95 : 18,321.56 = 3,449.54 : x
  2. Step 2: Convert to fraction form
    12,213.95/18,321.56 = 3,449.54/x
  3. Step 3: Cross multiply
    12,213.95x = 18,321.56 × 3,449.54
  4. Step 4: Simplify right side
    12,213.95x = 63,200,995.57
  5. Step 5: Solve for x
    x = 63,200,995.57/12,213.95
  6. Step 6: Final answer
    x = 5,174.49

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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.