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Finding the Fourth Proportional to 17,270.76, 23,832.67 and 9,717.41

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Solution

The fourth proportional to 17,270.76, 23,832.67 and 9,717.41 is: 13,409.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,270.76 : 23,832.67 = 9,717.41 : x
  2. Step 2: Convert to fraction form
    17,270.76/23,832.67 = 9,717.41/x
  3. Step 3: Cross multiply
    17,270.76x = 23,832.67 × 9,717.41
  4. Step 4: Simplify right side
    17,270.76x = 231,591,861.07
  5. Step 5: Solve for x
    x = 231,591,861.07/17,270.76
  6. Step 6: Final answer
    x = 13,409.48

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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.