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Finding the Fourth Proportional to 27,647.69, 41,471.51 and 6,871.19

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Solution

The fourth proportional to 27,647.69, 41,471.51 and 6,871.19 is: 10,306.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,647.69 : 41,471.51 = 6,871.19 : x
  2. Step 2: Convert to fraction form
    27,647.69/41,471.51 = 6,871.19/x
  3. Step 3: Cross multiply
    27,647.69x = 41,471.51 × 6,871.19
  4. Step 4: Simplify right side
    27,647.69x = 284,958,383.08
  5. Step 5: Solve for x
    x = 284,958,383.08/27,647.69
  6. Step 6: Final answer
    x = 10,306.77

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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.