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Finding the Fourth Proportional to 20,771.44, 28,667.05 and 11,697.10

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Solution

The fourth proportional to 20,771.44, 28,667.05 and 11,697.10 is: 16,143.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,771.44 : 28,667.05 = 11,697.10 : x
  2. Step 2: Convert to fraction form
    20,771.44/28,667.05 = 11,697.10/x
  3. Step 3: Cross multiply
    20,771.44x = 28,667.05 × 11,697.10
  4. Step 4: Simplify right side
    20,771.44x = 335,321,207.22
  5. Step 5: Solve for x
    x = 335,321,207.22/20,771.44
  6. Step 6: Final answer
    x = 16,143.38

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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.