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Finding the Fourth Proportional to 13,474.89, 20,211.90 and 3,613.65

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Solution

The fourth proportional to 13,474.89, 20,211.90 and 3,613.65 is: 5,420.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,474.89 : 20,211.90 = 3,613.65 : x
  2. Step 2: Convert to fraction form
    13,474.89/20,211.90 = 3,613.65/x
  3. Step 3: Cross multiply
    13,474.89x = 20,211.90 × 3,613.65
  4. Step 4: Simplify right side
    13,474.89x = 73,038,732.44
  5. Step 5: Solve for x
    x = 73,038,732.44/13,474.89
  6. Step 6: Final answer
    x = 5,420.36

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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.