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Finding the Fourth Proportional to 17,277, 23,842.37 and 9,723.46

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Solution

The fourth proportional to 17,277, 23,842.37 and 9,723.46 is: 13,418.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,277 : 23,842.37 = 9,723.46 : x
  2. Step 2: Convert to fraction form
    17,277/23,842.37 = 9,723.46/x
  3. Step 3: Cross multiply
    17,277x = 23,842.37 × 9,723.46
  4. Step 4: Simplify right side
    17,277x = 231,830,222.78
  5. Step 5: Solve for x
    x = 231,830,222.78/17,277
  6. Step 6: Final answer
    x = 13,418.43

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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.