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Finding the Fourth Proportional to 27,471.62, 37,910.85 and 14,896.37

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Solution

The fourth proportional to 27,471.62, 37,910.85 and 14,896.37 is: 20,557.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,471.62 : 37,910.85 = 14,896.37 : x
  2. Step 2: Convert to fraction form
    27,471.62/37,910.85 = 14,896.37/x
  3. Step 3: Cross multiply
    27,471.62x = 37,910.85 × 14,896.37
  4. Step 4: Simplify right side
    27,471.62x = 564,733,859.06
  5. Step 5: Solve for x
    x = 564,733,859.06/27,471.62
  6. Step 6: Final answer
    x = 20,557.00

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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.