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Finding the Fourth Proportional to 20,214.20, 30,321.30 and 7,902.20

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Solution

The fourth proportional to 20,214.20, 30,321.30 and 7,902.20 is: 11,853.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,214.20 : 30,321.30 = 7,902.20 : x
  2. Step 2: Convert to fraction form
    20,214.20/30,321.30 = 7,902.20/x
  3. Step 3: Cross multiply
    20,214.20x = 30,321.30 × 7,902.20
  4. Step 4: Simplify right side
    20,214.20x = 239,604,976.86
  5. Step 5: Solve for x
    x = 239,604,976.86/20,214.20
  6. Step 6: Final answer
    x = 11,853.30

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