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Finding the Fourth Proportional to 20,259.22, 30,388.82 and 5,468.14

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Solution

The fourth proportional to 20,259.22, 30,388.82 and 5,468.14 is: 8,202.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,259.22 : 30,388.82 = 5,468.14 : x
  2. Step 2: Convert to fraction form
    20,259.22/30,388.82 = 5,468.14/x
  3. Step 3: Cross multiply
    20,259.22x = 30,388.82 × 5,468.14
  4. Step 4: Simplify right side
    20,259.22x = 166,170,142.91
  5. Step 5: Solve for x
    x = 166,170,142.91/20,259.22
  6. Step 6: Final answer
    x = 8,202.20

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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.