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Finding the Fourth Proportional to 20,222.23, 27,906.30 and 11,023.87

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Solution

The fourth proportional to 20,222.23, 27,906.30 and 11,023.87 is: 15,212.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,222.23 : 27,906.30 = 11,023.87 : x
  2. Step 2: Convert to fraction form
    20,222.23/27,906.30 = 11,023.87/x
  3. Step 3: Cross multiply
    20,222.23x = 27,906.30 × 11,023.87
  4. Step 4: Simplify right side
    20,222.23x = 307,635,423.38
  5. Step 5: Solve for x
    x = 307,635,423.38/20,222.23
  6. Step 6: Final answer
    x = 15,212.73

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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.