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Finding the Fourth Proportional to 13,743.96, 20,615.96 and 7,896.84

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Solution

The fourth proportional to 13,743.96, 20,615.96 and 7,896.84 is: 11,845.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,743.96 : 20,615.96 = 7,896.84 : x
  2. Step 2: Convert to fraction form
    13,743.96/20,615.96 = 7,896.84/x
  3. Step 3: Cross multiply
    13,743.96x = 20,615.96 × 7,896.84
  4. Step 4: Simplify right side
    13,743.96x = 162,800,937.57
  5. Step 5: Solve for x
    x = 162,800,937.57/13,743.96
  6. Step 6: Final answer
    x = 11,845.27

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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.