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Finding the Fourth Proportional to 27,471.68, 37,910.56 and 14,896.36

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Solution

The fourth proportional to 27,471.68, 37,910.56 and 14,896.36 is: 20,556.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,471.68 : 37,910.56 = 14,896.36 : x
  2. Step 2: Convert to fraction form
    27,471.68/37,910.56 = 14,896.36/x
  3. Step 3: Cross multiply
    27,471.68x = 37,910.56 × 14,896.36
  4. Step 4: Simplify right side
    27,471.68x = 564,729,349.56
  5. Step 5: Solve for x
    x = 564,729,349.56/27,471.68
  6. Step 6: Final answer
    x = 20,556.78

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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.