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Finding the Fourth Proportional to 13,198.57, 18,233.81 and 8,672.02

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Solution

The fourth proportional to 13,198.57, 18,233.81 and 8,672.02 is: 11,980.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,198.57 : 18,233.81 = 8,672.02 : x
  2. Step 2: Convert to fraction form
    13,198.57/18,233.81 = 8,672.02/x
  3. Step 3: Cross multiply
    13,198.57x = 18,233.81 × 8,672.02
  4. Step 4: Simplify right side
    13,198.57x = 158,123,965.00
  5. Step 5: Solve for x
    x = 158,123,965.00/13,198.57
  6. Step 6: Final answer
    x = 11,980.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.