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Finding the Fourth Proportional to 17,982.54, 26,948.70 and 9,198.90

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Solution

The fourth proportional to 17,982.54, 26,948.70 and 9,198.90 is: 13,785.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,982.54 : 26,948.70 = 9,198.90 : x
  2. Step 2: Convert to fraction form
    17,982.54/26,948.70 = 9,198.90/x
  3. Step 3: Cross multiply
    17,982.54x = 26,948.70 × 9,198.90
  4. Step 4: Simplify right side
    17,982.54x = 247,898,396.43
  5. Step 5: Solve for x
    x = 247,898,396.43/17,982.54
  6. Step 6: Final answer
    x = 13,785.51

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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.