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Finding the Fourth Proportional to 13,816.92, 20,725.60 and 7,255.92

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Solution

The fourth proportional to 13,816.92, 20,725.60 and 7,255.92 is: 10,884.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,816.92 : 20,725.60 = 7,255.92 : x
  2. Step 2: Convert to fraction form
    13,816.92/20,725.60 = 7,255.92/x
  3. Step 3: Cross multiply
    13,816.92x = 20,725.60 × 7,255.92
  4. Step 4: Simplify right side
    13,816.92x = 150,383,295.55
  5. Step 5: Solve for x
    x = 150,383,295.55/13,816.92
  6. Step 6: Final answer
    x = 10,884.00

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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.