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Finding the Fourth Proportional to 20,469.51, 30,704.26 and 5,678.43

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Solution

The fourth proportional to 20,469.51, 30,704.26 and 5,678.43 is: 8,517.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,469.51 : 30,704.26 = 5,678.43 : x
  2. Step 2: Convert to fraction form
    20,469.51/30,704.26 = 5,678.43/x
  3. Step 3: Cross multiply
    20,469.51x = 30,704.26 × 5,678.43
  4. Step 4: Simplify right side
    20,469.51x = 174,351,991.11
  5. Step 5: Solve for x
    x = 174,351,991.11/20,469.51
  6. Step 6: Final answer
    x = 8,517.64

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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.