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Finding the Fourth Proportional to 17,251.85, 23,806.09 and 9,697.61

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Solution

The fourth proportional to 17,251.85, 23,806.09 and 9,697.61 is: 13,381.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,251.85 : 23,806.09 = 9,697.61 : x
  2. Step 2: Convert to fraction form
    17,251.85/23,806.09 = 9,697.61/x
  3. Step 3: Cross multiply
    17,251.85x = 23,806.09 × 9,697.61
  4. Step 4: Simplify right side
    17,251.85x = 230,862,176.44
  5. Step 5: Solve for x
    x = 230,862,176.44/17,251.85
  6. Step 6: Final answer
    x = 13,381.88

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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.