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Finding the Fourth Proportional to 27,863.30, 41,782.80 and 11,217.80

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Solution

The fourth proportional to 27,863.30, 41,782.80 and 11,217.80 is: 16,821.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,863.30 : 41,782.80 = 11,217.80 : x
  2. Step 2: Convert to fraction form
    27,863.30/41,782.80 = 11,217.80/x
  3. Step 3: Cross multiply
    27,863.30x = 41,782.80 × 11,217.80
  4. Step 4: Simplify right side
    27,863.30x = 468,711,093.84
  5. Step 5: Solve for x
    x = 468,711,093.84/27,863.30
  6. Step 6: Final answer
    x = 16,821.81

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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.