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Finding the Fourth Proportional to 13,745.36, 20,619.12 and 6,816.08

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Solution

The fourth proportional to 13,745.36, 20,619.12 and 6,816.08 is: 10,224.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,745.36 : 20,619.12 = 6,816.08 : x
  2. Step 2: Convert to fraction form
    13,745.36/20,619.12 = 6,816.08/x
  3. Step 3: Cross multiply
    13,745.36x = 20,619.12 × 6,816.08
  4. Step 4: Simplify right side
    13,745.36x = 140,541,571.45
  5. Step 5: Solve for x
    x = 140,541,571.45/13,745.36
  6. Step 6: Final answer
    x = 10,224.66

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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.