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Finding the Fourth Proportional to 20,291.22, 30,431.07 and 6,439.86

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Solution

The fourth proportional to 20,291.22, 30,431.07 and 6,439.86 is: 9,657.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,291.22 : 30,431.07 = 6,439.86 : x
  2. Step 2: Convert to fraction form
    20,291.22/30,431.07 = 6,439.86/x
  3. Step 3: Cross multiply
    20,291.22x = 30,431.07 × 6,439.86
  4. Step 4: Simplify right side
    20,291.22x = 195,971,830.45
  5. Step 5: Solve for x
    x = 195,971,830.45/20,291.22
  6. Step 6: Final answer
    x = 9,657.96

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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.