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Finding the Fourth Proportional to 20,243.57, 30,356.43 and 9,149.81

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Solution

The fourth proportional to 20,243.57, 30,356.43 and 9,149.81 is: 13,720.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,243.57 : 30,356.43 = 9,149.81 : x
  2. Step 2: Convert to fraction form
    20,243.57/30,356.43 = 9,149.81/x
  3. Step 3: Cross multiply
    20,243.57x = 30,356.43 × 9,149.81
  4. Step 4: Simplify right side
    20,243.57x = 277,755,415.00
  5. Step 5: Solve for x
    x = 277,755,415.00/20,243.57
  6. Step 6: Final answer
    x = 13,720.68

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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.