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Finding the Fourth Proportional to 13,450.96, 20,175.84 and 4,091.20

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Solution

The fourth proportional to 13,450.96, 20,175.84 and 4,091.20 is: 6,136.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,450.96 : 20,175.84 = 4,091.20 : x
  2. Step 2: Convert to fraction form
    13,450.96/20,175.84 = 4,091.20/x
  3. Step 3: Cross multiply
    13,450.96x = 20,175.84 × 4,091.20
  4. Step 4: Simplify right side
    13,450.96x = 82,543,396.61
  5. Step 5: Solve for x
    x = 82,543,396.61/13,450.96
  6. Step 6: Final answer
    x = 6,136.62

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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.