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Finding the Fourth Proportional to 13,450.10, 20,174.95 and 6,049.31

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Solution

The fourth proportional to 13,450.10, 20,174.95 and 6,049.31 is: 9,073.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,450.10 : 20,174.95 = 6,049.31 : x
  2. Step 2: Convert to fraction form
    13,450.10/20,174.95 = 6,049.31/x
  3. Step 3: Cross multiply
    13,450.10x = 20,174.95 × 6,049.31
  4. Step 4: Simplify right side
    13,450.10x = 122,044,433.47
  5. Step 5: Solve for x
    x = 122,044,433.47/13,450.10
  6. Step 6: Final answer
    x = 9,073.87

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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.