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Finding the Fourth Proportional to 13,962.21, 20,944.22 and 6,171

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Solution

The fourth proportional to 13,962.21, 20,944.22 and 6,171 is: 9,256.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,962.21 : 20,944.22 = 6,171 : x
  2. Step 2: Convert to fraction form
    13,962.21/20,944.22 = 6,171/x
  3. Step 3: Cross multiply
    13,962.21x = 20,944.22 × 6,171
  4. Step 4: Simplify right side
    13,962.21x = 129,246,781.62
  5. Step 5: Solve for x
    x = 129,246,781.62/13,962.21
  6. Step 6: Final answer
    x = 9,256.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.