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Finding the Fourth Proportional to 20,226.38, 30,339.56 and 9,406.04

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Solution

The fourth proportional to 20,226.38, 30,339.56 and 9,406.04 is: 14,109.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,226.38 : 30,339.56 = 9,406.04 : x
  2. Step 2: Convert to fraction form
    20,226.38/30,339.56 = 9,406.04/x
  3. Step 3: Cross multiply
    20,226.38x = 30,339.56 × 9,406.04
  4. Step 4: Simplify right side
    20,226.38x = 285,375,114.94
  5. Step 5: Solve for x
    x = 285,375,114.94/20,226.38
  6. Step 6: Final answer
    x = 14,109.06

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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.