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Finding the Fourth Proportional to 27,471.74, 37,911.02 and 14,896.49

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Solution

The fourth proportional to 27,471.74, 37,911.02 and 14,896.49 is: 20,557.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,471.74 : 37,911.02 = 14,896.49 : x
  2. Step 2: Convert to fraction form
    27,471.74/37,911.02 = 14,896.49/x
  3. Step 3: Cross multiply
    27,471.74x = 37,911.02 × 14,896.49
  4. Step 4: Simplify right side
    27,471.74x = 564,741,130.32
  5. Step 5: Solve for x
    x = 564,741,130.32/27,471.74
  6. Step 6: Final answer
    x = 20,557.17

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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.