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Finding the Fourth Proportional to 20,227.22, 27,915.36 and 12,273.84

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Solution

The fourth proportional to 20,227.22, 27,915.36 and 12,273.84 is: 16,938.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,227.22 : 27,915.36 = 12,273.84 : x
  2. Step 2: Convert to fraction form
    20,227.22/27,915.36 = 12,273.84/x
  3. Step 3: Cross multiply
    20,227.22x = 27,915.36 × 12,273.84
  4. Step 4: Simplify right side
    20,227.22x = 342,628,662.18
  5. Step 5: Solve for x
    x = 342,628,662.18/20,227.22
  6. Step 6: Final answer
    x = 16,938.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.