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Finding the Fourth Proportional to 19,896.82, 27,456.90 and 10,943.75

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Solution

The fourth proportional to 19,896.82, 27,456.90 and 10,943.75 is: 15,101.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,896.82 : 27,456.90 = 10,943.75 : x
  2. Step 2: Convert to fraction form
    19,896.82/27,456.90 = 10,943.75/x
  3. Step 3: Cross multiply
    19,896.82x = 27,456.90 × 10,943.75
  4. Step 4: Simplify right side
    19,896.82x = 300,481,449.38
  5. Step 5: Solve for x
    x = 300,481,449.38/19,896.82
  6. Step 6: Final answer
    x = 15,101.98

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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.