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Finding the Fourth Proportional to 27,471.91, 41,224.79 and 10,829.11

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Solution

The fourth proportional to 27,471.91, 41,224.79 and 10,829.11 is: 16,250.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,471.91 : 41,224.79 = 10,829.11 : x
  2. Step 2: Convert to fraction form
    27,471.91/41,224.79 = 10,829.11/x
  3. Step 3: Cross multiply
    27,471.91x = 41,224.79 × 10,829.11
  4. Step 4: Simplify right side
    27,471.91x = 446,427,731.49
  5. Step 5: Solve for x
    x = 446,427,731.49/27,471.91
  6. Step 6: Final answer
    x = 16,250.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.