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Finding the Fourth Proportional to 16,096.84, 22,213.56 and 9,023.27

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Solution

The fourth proportional to 16,096.84, 22,213.56 and 9,023.27 is: 12,452.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,096.84 : 22,213.56 = 9,023.27 : x
  2. Step 2: Convert to fraction form
    16,096.84/22,213.56 = 9,023.27/x
  3. Step 3: Cross multiply
    16,096.84x = 22,213.56 × 9,023.27
  4. Step 4: Simplify right side
    16,096.84x = 200,438,821.55
  5. Step 5: Solve for x
    x = 200,438,821.55/16,096.84
  6. Step 6: Final answer
    x = 12,452.06

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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.