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Finding the Fourth Proportional to 20,174.80, 30,262.42 and 6,137.12

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Solution

The fourth proportional to 20,174.80, 30,262.42 and 6,137.12 is: 9,205.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,174.80 : 30,262.42 = 6,137.12 : x
  2. Step 2: Convert to fraction form
    20,174.80/30,262.42 = 6,137.12/x
  3. Step 3: Cross multiply
    20,174.80x = 30,262.42 × 6,137.12
  4. Step 4: Simplify right side
    20,174.80x = 185,724,103.03
  5. Step 5: Solve for x
    x = 185,724,103.03/20,174.80
  6. Step 6: Final answer
    x = 9,205.75

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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.