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Finding the Fourth Proportional to 13,628.50, 20,441.24 and 3,766.50

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Solution

The fourth proportional to 13,628.50, 20,441.24 and 3,766.50 is: 5,649.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,628.50 : 20,441.24 = 3,766.50 : x
  2. Step 2: Convert to fraction form
    13,628.50/20,441.24 = 3,766.50/x
  3. Step 3: Cross multiply
    13,628.50x = 20,441.24 × 3,766.50
  4. Step 4: Simplify right side
    13,628.50x = 76,991,915.16
  5. Step 5: Solve for x
    x = 76,991,915.16/13,628.50
  6. Step 6: Final answer
    x = 5,649.33

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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.