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Finding the Fourth Proportional to 12,003.57, 18,013.41 and 4,212.41

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Solution

The fourth proportional to 12,003.57, 18,013.41 and 4,212.41 is: 6,321.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,003.57 : 18,013.41 = 4,212.41 : x
  2. Step 2: Convert to fraction form
    12,003.57/18,013.41 = 4,212.41/x
  3. Step 3: Cross multiply
    12,003.57x = 18,013.41 × 4,212.41
  4. Step 4: Simplify right side
    12,003.57x = 75,879,778.35
  5. Step 5: Solve for x
    x = 75,879,778.35/12,003.57
  6. Step 6: Final answer
    x = 6,321.43

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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.