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Finding the Fourth Proportional to 13,704.47, 18,912.22 and 7,416.85

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Solution

The fourth proportional to 13,704.47, 18,912.22 and 7,416.85 is: 10,235.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,704.47 : 18,912.22 = 7,416.85 : x
  2. Step 2: Convert to fraction form
    13,704.47/18,912.22 = 7,416.85/x
  3. Step 3: Cross multiply
    13,704.47x = 18,912.22 × 7,416.85
  4. Step 4: Simplify right side
    13,704.47x = 140,269,033.08
  5. Step 5: Solve for x
    x = 140,269,033.08/13,704.47
  6. Step 6: Final answer
    x = 10,235.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.