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Finding the Fourth Proportional to 12,004.49, 18,009.17 and 4,213.91

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Solution

The fourth proportional to 12,004.49, 18,009.17 and 4,213.91 is: 6,321.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,004.49 : 18,009.17 = 4,213.91 : x
  2. Step 2: Convert to fraction form
    12,004.49/18,009.17 = 4,213.91/x
  3. Step 3: Cross multiply
    12,004.49x = 18,009.17 × 4,213.91
  4. Step 4: Simplify right side
    12,004.49x = 75,888,910.44
  5. Step 5: Solve for x
    x = 75,888,910.44/12,004.49
  6. Step 6: Final answer
    x = 6,321.71

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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.