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Finding the Fourth Proportional to 12,322.75, 18,481.83 and 4,002.85

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Solution

The fourth proportional to 12,322.75, 18,481.83 and 4,002.85 is: 6,003.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,322.75 : 18,481.83 = 4,002.85 : x
  2. Step 2: Convert to fraction form
    12,322.75/18,481.83 = 4,002.85/x
  3. Step 3: Cross multiply
    12,322.75x = 18,481.83 × 4,002.85
  4. Step 4: Simplify right side
    12,322.75x = 73,979,993.22
  5. Step 5: Solve for x
    x = 73,979,993.22/12,322.75
  6. Step 6: Final answer
    x = 6,003.53

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