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Finding the Fourth Proportional to 13,815.12, 20,728.46 and 7,245.64

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Solution

The fourth proportional to 13,815.12, 20,728.46 and 7,245.64 is: 10,871.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,815.12 : 20,728.46 = 7,245.64 : x
  2. Step 2: Convert to fraction form
    13,815.12/20,728.46 = 7,245.64/x
  3. Step 3: Cross multiply
    13,815.12x = 20,728.46 × 7,245.64
  4. Step 4: Simplify right side
    13,815.12x = 150,190,958.91
  5. Step 5: Solve for x
    x = 150,190,958.91/13,815.12
  6. Step 6: Final answer
    x = 10,871.49

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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.