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Finding the Fourth Proportional to 19,982.70, 29,967.21 and 6,831.99

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Solution

The fourth proportional to 19,982.70, 29,967.21 and 6,831.99 is: 10,245.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,982.70 : 29,967.21 = 6,831.99 : x
  2. Step 2: Convert to fraction form
    19,982.70/29,967.21 = 6,831.99/x
  3. Step 3: Cross multiply
    19,982.70x = 29,967.21 × 6,831.99
  4. Step 4: Simplify right side
    19,982.70x = 204,735,679.05
  5. Step 5: Solve for x
    x = 204,735,679.05/19,982.70
  6. Step 6: Final answer
    x = 10,245.65

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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.