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Finding the Fourth Proportional to 20,099.79, 30,149.73 and 9,704.25

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Solution

The fourth proportional to 20,099.79, 30,149.73 and 9,704.25 is: 14,556.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,099.79 : 30,149.73 = 9,704.25 : x
  2. Step 2: Convert to fraction form
    20,099.79/30,149.73 = 9,704.25/x
  3. Step 3: Cross multiply
    20,099.79x = 30,149.73 × 9,704.25
  4. Step 4: Simplify right side
    20,099.79x = 292,580,517.35
  5. Step 5: Solve for x
    x = 292,580,517.35/20,099.79
  6. Step 6: Final answer
    x = 14,556.40

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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.