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Finding the Fourth Proportional to 20,344.92, 30,512.60 and 11,464.12

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Solution

The fourth proportional to 20,344.92, 30,512.60 and 11,464.12 is: 17,193.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,344.92 : 30,512.60 = 11,464.12 : x
  2. Step 2: Convert to fraction form
    20,344.92/30,512.60 = 11,464.12/x
  3. Step 3: Cross multiply
    20,344.92x = 30,512.60 × 11,464.12
  4. Step 4: Simplify right side
    20,344.92x = 349,800,107.91
  5. Step 5: Solve for x
    x = 349,800,107.91/20,344.92
  6. Step 6: Final answer
    x = 17,193.49

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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.