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Finding the Fourth Proportional to 27,471.49, 37,910.68 and 14,896.24

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Solution

The fourth proportional to 27,471.49, 37,910.68 and 14,896.24 is: 20,556.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,471.49 : 37,910.68 = 14,896.24 : x
  2. Step 2: Convert to fraction form
    27,471.49/37,910.68 = 14,896.24/x
  3. Step 3: Cross multiply
    27,471.49x = 37,910.68 × 14,896.24
  4. Step 4: Simplify right side
    27,471.49x = 564,726,550.60
  5. Step 5: Solve for x
    x = 564,726,550.60/27,471.49
  6. Step 6: Final answer
    x = 20,556.82

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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.