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Finding the Fourth Proportional to 17,276.92, 23,842.24 and 9,723.38

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Solution

The fourth proportional to 17,276.92, 23,842.24 and 9,723.38 is: 13,418.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,276.92 : 23,842.24 = 9,723.38 : x
  2. Step 2: Convert to fraction form
    17,276.92/23,842.24 = 9,723.38/x
  3. Step 3: Cross multiply
    17,276.92x = 23,842.24 × 9,723.38
  4. Step 4: Simplify right side
    17,276.92x = 231,827,016.05
  5. Step 5: Solve for x
    x = 231,827,016.05/17,276.92
  6. Step 6: Final answer
    x = 13,418.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.