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Finding the Fourth Proportional to 13,650.75, 20,476.24 and 3,790.80

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Solution

The fourth proportional to 13,650.75, 20,476.24 and 3,790.80 is: 5,686.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,650.75 : 20,476.24 = 3,790.80 : x
  2. Step 2: Convert to fraction form
    13,650.75/20,476.24 = 3,790.80/x
  3. Step 3: Cross multiply
    13,650.75x = 20,476.24 × 3,790.80
  4. Step 4: Simplify right side
    13,650.75x = 77,621,321.12
  5. Step 5: Solve for x
    x = 77,621,321.12/13,650.75
  6. Step 6: Final answer
    x = 5,686.23

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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.