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Finding the Fourth Proportional to 13,685.26, 20,527.93 and 3,824.48

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Solution

The fourth proportional to 13,685.26, 20,527.93 and 3,824.48 is: 5,736.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,685.26 : 20,527.93 = 3,824.48 : x
  2. Step 2: Convert to fraction form
    13,685.26/20,527.93 = 3,824.48/x
  3. Step 3: Cross multiply
    13,685.26x = 20,527.93 × 3,824.48
  4. Step 4: Simplify right side
    13,685.26x = 78,508,555.09
  5. Step 5: Solve for x
    x = 78,508,555.09/13,685.26
  6. Step 6: Final answer
    x = 5,736.73

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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.