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Finding the Fourth Proportional to 13,198.93, 18,207.62 and 8,161.54

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Solution

The fourth proportional to 13,198.93, 18,207.62 and 8,161.54 is: 11,258.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,198.93 : 18,207.62 = 8,161.54 : x
  2. Step 2: Convert to fraction form
    13,198.93/18,207.62 = 8,161.54/x
  3. Step 3: Cross multiply
    13,198.93x = 18,207.62 × 8,161.54
  4. Step 4: Simplify right side
    13,198.93x = 148,602,178.13
  5. Step 5: Solve for x
    x = 148,602,178.13/13,198.93
  6. Step 6: Final answer
    x = 11,258.65

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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.