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Finding the Fourth Proportional to 13,833.27, 20,765.31 and 7,168.02

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Solution

The fourth proportional to 13,833.27, 20,765.31 and 7,168.02 is: 10,760.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,833.27 : 20,765.31 = 7,168.02 : x
  2. Step 2: Convert to fraction form
    13,833.27/20,765.31 = 7,168.02/x
  3. Step 3: Cross multiply
    13,833.27x = 20,765.31 × 7,168.02
  4. Step 4: Simplify right side
    13,833.27x = 148,846,157.39
  5. Step 5: Solve for x
    x = 148,846,157.39/13,833.27
  6. Step 6: Final answer
    x = 10,760.01

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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.