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Finding the Fourth Proportional to 13,198.68, 18,207.27 and 8,161.29

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Solution

The fourth proportional to 13,198.68, 18,207.27 and 8,161.29 is: 11,258.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,198.68 : 18,207.27 = 8,161.29 : x
  2. Step 2: Convert to fraction form
    13,198.68/18,207.27 = 8,161.29/x
  3. Step 3: Cross multiply
    13,198.68x = 18,207.27 × 8,161.29
  4. Step 4: Simplify right side
    13,198.68x = 148,594,810.58
  5. Step 5: Solve for x
    x = 148,594,810.58/13,198.68
  6. Step 6: Final answer
    x = 11,258.31

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