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Finding the Fourth Proportional to 27,471.92, 37,911.30 and 14,896.58

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Solution

The fourth proportional to 27,471.92, 37,911.30 and 14,896.58 is: 20,557.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,471.92 : 37,911.30 = 14,896.58 : x
  2. Step 2: Convert to fraction form
    27,471.92/37,911.30 = 14,896.58/x
  3. Step 3: Cross multiply
    27,471.92x = 37,911.30 × 14,896.58
  4. Step 4: Simplify right side
    27,471.92x = 564,748,713.35
  5. Step 5: Solve for x
    x = 564,748,713.35/27,471.92
  6. Step 6: Final answer
    x = 20,557.31

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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.