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Finding the Fourth Proportional to 27,471.67, 37,910.92 and 14,896.42

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Solution

The fourth proportional to 27,471.67, 37,910.92 and 14,896.42 is: 20,557.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,471.67 : 37,910.92 = 14,896.42 : x
  2. Step 2: Convert to fraction form
    27,471.67/37,910.92 = 14,896.42/x
  3. Step 3: Cross multiply
    27,471.67x = 37,910.92 × 14,896.42
  4. Step 4: Simplify right side
    27,471.67x = 564,736,986.91
  5. Step 5: Solve for x
    x = 564,736,986.91/27,471.67
  6. Step 6: Final answer
    x = 20,557.07

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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.