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Finding the Fourth Proportional to 20,796.50, 31,190.16 and 6,002.20

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Solution

The fourth proportional to 20,796.50, 31,190.16 and 6,002.20 is: 9,001.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,796.50 : 31,190.16 = 6,002.20 : x
  2. Step 2: Convert to fraction form
    20,796.50/31,190.16 = 6,002.20/x
  3. Step 3: Cross multiply
    20,796.50x = 31,190.16 × 6,002.20
  4. Step 4: Simplify right side
    20,796.50x = 187,209,578.35
  5. Step 5: Solve for x
    x = 187,209,578.35/20,796.50
  6. Step 6: Final answer
    x = 9,001.98

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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.