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Finding the Fourth Proportional to 27,471.92, 37,911.48 and 14,896.66

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Solution

The fourth proportional to 27,471.92, 37,911.48 and 14,896.66 is: 20,557.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,471.92 : 37,911.48 = 14,896.66 : x
  2. Step 2: Convert to fraction form
    27,471.92/37,911.48 = 14,896.66/x
  3. Step 3: Cross multiply
    27,471.92x = 37,911.48 × 14,896.66
  4. Step 4: Simplify right side
    27,471.92x = 564,754,427.66
  5. Step 5: Solve for x
    x = 564,754,427.66/27,471.92
  6. Step 6: Final answer
    x = 20,557.52

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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.