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Finding the Fourth Proportional to 20,231.70, 27,914.94 and 12,273.72

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Solution

The fourth proportional to 20,231.70, 27,914.94 and 12,273.72 is: 16,934.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,231.70 : 27,914.94 = 12,273.72 : x
  2. Step 2: Convert to fraction form
    20,231.70/27,914.94 = 12,273.72/x
  3. Step 3: Cross multiply
    20,231.70x = 27,914.94 × 12,273.72
  4. Step 4: Simplify right side
    20,231.70x = 342,620,157.38
  5. Step 5: Solve for x
    x = 342,620,157.38/20,231.70
  6. Step 6: Final answer
    x = 16,934.82

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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.