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Finding the Fourth Proportional to 13,704.69, 20,558.33 and 3,843.93

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Solution

The fourth proportional to 13,704.69, 20,558.33 and 3,843.93 is: 5,766.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,704.69 : 20,558.33 = 3,843.93 : x
  2. Step 2: Convert to fraction form
    13,704.69/20,558.33 = 3,843.93/x
  3. Step 3: Cross multiply
    13,704.69x = 20,558.33 × 3,843.93
  4. Step 4: Simplify right side
    13,704.69x = 79,024,806.72
  5. Step 5: Solve for x
    x = 79,024,806.72/13,704.69
  6. Step 6: Final answer
    x = 5,766.26

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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.