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Finding the Fourth Proportional to 13,723.57, 20,577.97 and 4,361.05

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Solution

The fourth proportional to 13,723.57, 20,577.97 and 4,361.05 is: 6,539.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,723.57 : 20,577.97 = 4,361.05 : x
  2. Step 2: Convert to fraction form
    13,723.57/20,577.97 = 4,361.05/x
  3. Step 3: Cross multiply
    13,723.57x = 20,577.97 × 4,361.05
  4. Step 4: Simplify right side
    13,723.57x = 89,741,556.07
  5. Step 5: Solve for x
    x = 89,741,556.07/13,723.57
  6. Step 6: Final answer
    x = 6,539.23

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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.