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Finding the Fourth Proportional to 17,283.38, 23,849.64 and 9,727.29

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Solution

The fourth proportional to 17,283.38, 23,849.64 and 9,727.29 is: 13,422.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,283.38 : 23,849.64 = 9,727.29 : x
  2. Step 2: Convert to fraction form
    17,283.38/23,849.64 = 9,727.29/x
  3. Step 3: Cross multiply
    17,283.38x = 23,849.64 × 9,727.29
  4. Step 4: Simplify right side
    17,283.38x = 231,992,364.68
  5. Step 5: Solve for x
    x = 231,992,364.68/17,283.38
  6. Step 6: Final answer
    x = 13,422.86

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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.