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Finding the Fourth Proportional to 20,469.46, 30,704.20 and 5,682.10

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Solution

The fourth proportional to 20,469.46, 30,704.20 and 5,682.10 is: 8,523.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,469.46 : 30,704.20 = 5,682.10 : x
  2. Step 2: Convert to fraction form
    20,469.46/30,704.20 = 5,682.10/x
  3. Step 3: Cross multiply
    20,469.46x = 30,704.20 × 5,682.10
  4. Step 4: Simplify right side
    20,469.46x = 174,464,334.82
  5. Step 5: Solve for x
    x = 174,464,334.82/20,469.46
  6. Step 6: Final answer
    x = 8,523.15

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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.