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Finding the Fourth Proportional to 27,683, 41,524.50 and 8,227

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Solution

The fourth proportional to 27,683, 41,524.50 and 8,227 is: 12,340.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,683 : 41,524.50 = 8,227 : x
  2. Step 2: Convert to fraction form
    27,683/41,524.50 = 8,227/x
  3. Step 3: Cross multiply
    27,683x = 41,524.50 × 8,227
  4. Step 4: Simplify right side
    27,683x = 341,622,061.50
  5. Step 5: Solve for x
    x = 341,622,061.50/27,683
  6. Step 6: Final answer
    x = 12,340.50

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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.