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Finding the Fourth Proportional to 20,801.75, 31,190.15 and 9,542.99

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Solution

The fourth proportional to 20,801.75, 31,190.15 and 9,542.99 is: 14,308.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,801.75 : 31,190.15 = 9,542.99 : x
  2. Step 2: Convert to fraction form
    20,801.75/31,190.15 = 9,542.99/x
  3. Step 3: Cross multiply
    20,801.75x = 31,190.15 × 9,542.99
  4. Step 4: Simplify right side
    20,801.75x = 297,647,289.55
  5. Step 5: Solve for x
    x = 297,647,289.55/20,801.75
  6. Step 6: Final answer
    x = 14,308.76

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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.