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Finding the Fourth Proportional to 17,822.34, 26,736.78 and 5,974.92

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Solution

The fourth proportional to 17,822.34, 26,736.78 and 5,974.92 is: 8,963.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,822.34 : 26,736.78 = 5,974.92 : x
  2. Step 2: Convert to fraction form
    17,822.34/26,736.78 = 5,974.92/x
  3. Step 3: Cross multiply
    17,822.34x = 26,736.78 × 5,974.92
  4. Step 4: Simplify right side
    17,822.34x = 159,750,121.56
  5. Step 5: Solve for x
    x = 159,750,121.56/17,822.34
  6. Step 6: Final answer
    x = 8,963.48

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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.