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Finding the Fourth Proportional to 20,571.90, 30,833.12 and 9,463.28

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Solution

The fourth proportional to 20,571.90, 30,833.12 and 9,463.28 is: 14,183.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,571.90 : 30,833.12 = 9,463.28 : x
  2. Step 2: Convert to fraction form
    20,571.90/30,833.12 = 9,463.28/x
  3. Step 3: Cross multiply
    20,571.90x = 30,833.12 × 9,463.28
  4. Step 4: Simplify right side
    20,571.90x = 291,782,447.83
  5. Step 5: Solve for x
    x = 291,782,447.83/20,571.90
  6. Step 6: Final answer
    x = 14,183.54

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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.