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Finding the Fourth Proportional to 17,286.41, 23,853.49 and 9,731.54

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Solution

The fourth proportional to 17,286.41, 23,853.49 and 9,731.54 is: 13,428.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,286.41 : 23,853.49 = 9,731.54 : x
  2. Step 2: Convert to fraction form
    17,286.41/23,853.49 = 9,731.54/x
  3. Step 3: Cross multiply
    17,286.41x = 23,853.49 × 9,731.54
  4. Step 4: Simplify right side
    17,286.41x = 232,131,227.38
  5. Step 5: Solve for x
    x = 232,131,227.38/17,286.41
  6. Step 6: Final answer
    x = 13,428.54

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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.