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Finding the Fourth Proportional to 20,174.69, 30,261.99 and 6,134.66

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Solution

The fourth proportional to 20,174.69, 30,261.99 and 6,134.66 is: 9,201.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,174.69 : 30,261.99 = 6,134.66 : x
  2. Step 2: Convert to fraction form
    20,174.69/30,261.99 = 6,134.66/x
  3. Step 3: Cross multiply
    20,174.69x = 30,261.99 × 6,134.66
  4. Step 4: Simplify right side
    20,174.69x = 185,647,019.57
  5. Step 5: Solve for x
    x = 185,647,019.57/20,174.69
  6. Step 6: Final answer
    x = 9,201.98

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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.