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Finding the Fourth Proportional to 17,674.33, 26,512.85 and 5,823.49

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Solution

The fourth proportional to 17,674.33, 26,512.85 and 5,823.49 is: 8,735.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,674.33 : 26,512.85 = 5,823.49 : x
  2. Step 2: Convert to fraction form
    17,674.33/26,512.85 = 5,823.49/x
  3. Step 3: Cross multiply
    17,674.33x = 26,512.85 × 5,823.49
  4. Step 4: Simplify right side
    17,674.33x = 154,397,316.85
  5. Step 5: Solve for x
    x = 154,397,316.85/17,674.33
  6. Step 6: Final answer
    x = 8,735.68

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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.