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Finding the Fourth Proportional to 20,420.94, 28,183.19 and 11,471.30

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Solution

The fourth proportional to 20,420.94, 28,183.19 and 11,471.30 is: 15,831.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,420.94 : 28,183.19 = 11,471.30 : x
  2. Step 2: Convert to fraction form
    20,420.94/28,183.19 = 11,471.30/x
  3. Step 3: Cross multiply
    20,420.94x = 28,183.19 × 11,471.30
  4. Step 4: Simplify right side
    20,420.94x = 323,297,629.17
  5. Step 5: Solve for x
    x = 323,297,629.17/20,420.94
  6. Step 6: Final answer
    x = 15,831.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.