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Finding the Fourth Proportional to 27,793.53, 38,388.74 and 20,227.86

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Solution

The fourth proportional to 27,793.53, 38,388.74 and 20,227.86 is: 27,938.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,793.53 : 38,388.74 = 20,227.86 : x
  2. Step 2: Convert to fraction form
    27,793.53/38,388.74 = 20,227.86/x
  3. Step 3: Cross multiply
    27,793.53x = 38,388.74 × 20,227.86
  4. Step 4: Simplify right side
    27,793.53x = 776,521,957.16
  5. Step 5: Solve for x
    x = 776,521,957.16/27,793.53
  6. Step 6: Final answer
    x = 27,938.95

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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.