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Finding the Fourth Proportional to 27,942.46, 41,913.62 and 8,220.99

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Solution

The fourth proportional to 27,942.46, 41,913.62 and 8,220.99 is: 12,331.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,942.46 : 41,913.62 = 8,220.99 : x
  2. Step 2: Convert to fraction form
    27,942.46/41,913.62 = 8,220.99/x
  3. Step 3: Cross multiply
    27,942.46x = 41,913.62 × 8,220.99
  4. Step 4: Simplify right side
    27,942.46x = 344,571,261.87
  5. Step 5: Solve for x
    x = 344,571,261.87/27,942.46
  6. Step 6: Final answer
    x = 12,331.46

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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.