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Finding the Fourth Proportional to 16,096.92, 22,213.67 and 9,023.34

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Solution

The fourth proportional to 16,096.92, 22,213.67 and 9,023.34 is: 12,452.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,096.92 : 22,213.67 = 9,023.34 : x
  2. Step 2: Convert to fraction form
    16,096.92/22,213.67 = 9,023.34/x
  3. Step 3: Cross multiply
    16,096.92x = 22,213.67 × 9,023.34
  4. Step 4: Simplify right side
    16,096.92x = 200,441,385.99
  5. Step 5: Solve for x
    x = 200,441,385.99/16,096.92
  6. Step 6: Final answer
    x = 12,452.16

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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.