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Finding the Fourth Proportional to 22,663.89, 33,958.20 and 13,880.34

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Solution

The fourth proportional to 22,663.89, 33,958.20 and 13,880.34 is: 20,797.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,663.89 : 33,958.20 = 13,880.34 : x
  2. Step 2: Convert to fraction form
    22,663.89/33,958.20 = 13,880.34/x
  3. Step 3: Cross multiply
    22,663.89x = 33,958.20 × 13,880.34
  4. Step 4: Simplify right side
    22,663.89x = 471,351,361.79
  5. Step 5: Solve for x
    x = 471,351,361.79/22,663.89
  6. Step 6: Final answer
    x = 20,797.46

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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.