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Finding the Fourth Proportional to 13,683.88, 20,527.02 and 3,823.24

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Solution

The fourth proportional to 13,683.88, 20,527.02 and 3,823.24 is: 5,735.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,683.88 : 20,527.02 = 3,823.24 : x
  2. Step 2: Convert to fraction form
    13,683.88/20,527.02 = 3,823.24/x
  3. Step 3: Cross multiply
    13,683.88x = 20,527.02 × 3,823.24
  4. Step 4: Simplify right side
    13,683.88x = 78,479,723.94
  5. Step 5: Solve for x
    x = 78,479,723.94/13,683.88
  6. Step 6: Final answer
    x = 5,735.20

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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.