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Finding the Fourth Proportional to 13,834.36, 20,751 and 3,973.60

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Solution

The fourth proportional to 13,834.36, 20,751 and 3,973.60 is: 5,960.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,834.36 : 20,751 = 3,973.60 : x
  2. Step 2: Convert to fraction form
    13,834.36/20,751 = 3,973.60/x
  3. Step 3: Cross multiply
    13,834.36x = 20,751 × 3,973.60
  4. Step 4: Simplify right side
    13,834.36x = 82,456,173.60
  5. Step 5: Solve for x
    x = 82,456,173.60/13,834.36
  6. Step 6: Final answer
    x = 5,960.24

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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.