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Finding the Fourth Proportional to 27,471.76, 37,910.84 and 14,896.51

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Solution

The fourth proportional to 27,471.76, 37,910.84 and 14,896.51 is: 20,557.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,471.76 : 37,910.84 = 14,896.51 : x
  2. Step 2: Convert to fraction form
    27,471.76/37,910.84 = 14,896.51/x
  3. Step 3: Cross multiply
    27,471.76x = 37,910.84 × 14,896.51
  4. Step 4: Simplify right side
    27,471.76x = 564,739,037.91
  5. Step 5: Solve for x
    x = 564,739,037.91/27,471.76
  6. Step 6: Final answer
    x = 20,557.08

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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.