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Finding the Fourth Proportional to 16,622.20, 24,922.14 and 7,849

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Solution

The fourth proportional to 16,622.20, 24,922.14 and 7,849 is: 11,768.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,622.20 : 24,922.14 = 7,849 : x
  2. Step 2: Convert to fraction form
    16,622.20/24,922.14 = 7,849/x
  3. Step 3: Cross multiply
    16,622.20x = 24,922.14 × 7,849
  4. Step 4: Simplify right side
    16,622.20x = 195,613,876.86
  5. Step 5: Solve for x
    x = 195,613,876.86/16,622.20
  6. Step 6: Final answer
    x = 11,768.23

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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.