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Finding the Fourth Proportional to 13,198.55, 18,207.10 and 8,161.16

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Solution

The fourth proportional to 13,198.55, 18,207.10 and 8,161.16 is: 11,258.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,198.55 : 18,207.10 = 8,161.16 : x
  2. Step 2: Convert to fraction form
    13,198.55/18,207.10 = 8,161.16/x
  3. Step 3: Cross multiply
    13,198.55x = 18,207.10 × 8,161.16
  4. Step 4: Simplify right side
    13,198.55x = 148,591,056.24
  5. Step 5: Solve for x
    x = 148,591,056.24/13,198.55
  6. Step 6: Final answer
    x = 11,258.13

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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.