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Finding the Fourth Proportional to 26,793.28, 40,182.24 and 9,022

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Solution

The fourth proportional to 26,793.28, 40,182.24 and 9,022 is: 13,530.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,793.28 : 40,182.24 = 9,022 : x
  2. Step 2: Convert to fraction form
    26,793.28/40,182.24 = 9,022/x
  3. Step 3: Cross multiply
    26,793.28x = 40,182.24 × 9,022
  4. Step 4: Simplify right side
    26,793.28x = 362,524,169.28
  5. Step 5: Solve for x
    x = 362,524,169.28/26,793.28
  6. Step 6: Final answer
    x = 13,530.41

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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.