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Finding the Fourth Proportional to 20,142.38, 27,794.94 and 11,189.72

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Solution

The fourth proportional to 20,142.38, 27,794.94 and 11,189.72 is: 15,440.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,142.38 : 27,794.94 = 11,189.72 : x
  2. Step 2: Convert to fraction form
    20,142.38/27,794.94 = 11,189.72/x
  3. Step 3: Cross multiply
    20,142.38x = 27,794.94 × 11,189.72
  4. Step 4: Simplify right side
    20,142.38x = 311,017,596.02
  5. Step 5: Solve for x
    x = 311,017,596.02/20,142.38
  6. Step 6: Final answer
    x = 15,440.96

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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.