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Finding the Fourth Proportional to 20,215.70, 27,896.83 and 11,262.97

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Solution

The fourth proportional to 20,215.70, 27,896.83 and 11,262.97 is: 15,542.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,215.70 : 27,896.83 = 11,262.97 : x
  2. Step 2: Convert to fraction form
    20,215.70/27,896.83 = 11,262.97/x
  3. Step 3: Cross multiply
    20,215.70x = 27,896.83 × 11,262.97
  4. Step 4: Simplify right side
    20,215.70x = 314,201,159.39
  5. Step 5: Solve for x
    x = 314,201,159.39/20,215.70
  6. Step 6: Final answer
    x = 15,542.43

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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.