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Finding the Fourth Proportional to 20,142.44, 30,223.89 and 9,046.86

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Solution

The fourth proportional to 20,142.44, 30,223.89 and 9,046.86 is: 13,574.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,142.44 : 30,223.89 = 9,046.86 : x
  2. Step 2: Convert to fraction form
    20,142.44/30,223.89 = 9,046.86/x
  3. Step 3: Cross multiply
    20,142.44x = 30,223.89 × 9,046.86
  4. Step 4: Simplify right side
    20,142.44x = 273,431,301.49
  5. Step 5: Solve for x
    x = 273,431,301.49/20,142.44
  6. Step 6: Final answer
    x = 13,574.88

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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.