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Finding the Fourth Proportional to 13,906.28, 20,831.63 and 8,356.62

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Solution

The fourth proportional to 13,906.28, 20,831.63 and 8,356.62 is: 12,518.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,906.28 : 20,831.63 = 8,356.62 : x
  2. Step 2: Convert to fraction form
    13,906.28/20,831.63 = 8,356.62/x
  3. Step 3: Cross multiply
    13,906.28x = 20,831.63 × 8,356.62
  4. Step 4: Simplify right side
    13,906.28x = 174,081,982.05
  5. Step 5: Solve for x
    x = 174,081,982.05/13,906.28
  6. Step 6: Final answer
    x = 12,518.23

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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.