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Finding the Fourth Proportional to 13,968.50, 20,954.01 and 3,580.34

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Solution

The fourth proportional to 13,968.50, 20,954.01 and 3,580.34 is: 5,370.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,968.50 : 20,954.01 = 3,580.34 : x
  2. Step 2: Convert to fraction form
    13,968.50/20,954.01 = 3,580.34/x
  3. Step 3: Cross multiply
    13,968.50x = 20,954.01 × 3,580.34
  4. Step 4: Simplify right side
    13,968.50x = 75,022,480.16
  5. Step 5: Solve for x
    x = 75,022,480.16/13,968.50
  6. Step 6: Final answer
    x = 5,370.83

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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.