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Finding the Fourth Proportional to 17,674.75, 24,391.73 and 9,717.55

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Solution

The fourth proportional to 17,674.75, 24,391.73 and 9,717.55 is: 13,410.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,674.75 : 24,391.73 = 9,717.55 : x
  2. Step 2: Convert to fraction form
    17,674.75/24,391.73 = 9,717.55/x
  3. Step 3: Cross multiply
    17,674.75x = 24,391.73 × 9,717.55
  4. Step 4: Simplify right side
    17,674.75x = 237,027,855.86
  5. Step 5: Solve for x
    x = 237,027,855.86/17,674.75
  6. Step 6: Final answer
    x = 13,410.54

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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.