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Finding the Fourth Proportional to 20,605.19, 30,831.19 and 12,289.73

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Solution

The fourth proportional to 20,605.19, 30,831.19 and 12,289.73 is: 18,388.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,605.19 : 30,831.19 = 12,289.73 : x
  2. Step 2: Convert to fraction form
    20,605.19/30,831.19 = 12,289.73/x
  3. Step 3: Cross multiply
    20,605.19x = 30,831.19 × 12,289.73
  4. Step 4: Simplify right side
    20,605.19x = 378,906,815.80
  5. Step 5: Solve for x
    x = 378,906,815.80/20,605.19
  6. Step 6: Final answer
    x = 18,388.91

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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.