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Finding the Fourth Proportional to 20,489.26, 30,714.44 and 7,334.86

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Solution

The fourth proportional to 20,489.26, 30,714.44 and 7,334.86 is: 10,995.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,489.26 : 30,714.44 = 7,334.86 : x
  2. Step 2: Convert to fraction form
    20,489.26/30,714.44 = 7,334.86/x
  3. Step 3: Cross multiply
    20,489.26x = 30,714.44 × 7,334.86
  4. Step 4: Simplify right side
    20,489.26x = 225,285,982.14
  5. Step 5: Solve for x
    x = 225,285,982.14/20,489.26
  6. Step 6: Final answer
    x = 10,995.32

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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.