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Finding the Fourth Proportional to 22,753.44, 34,107.12 and 9,609.12

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Solution

The fourth proportional to 22,753.44, 34,107.12 and 9,609.12 is: 14,403.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,753.44 : 34,107.12 = 9,609.12 : x
  2. Step 2: Convert to fraction form
    22,753.44/34,107.12 = 9,609.12/x
  3. Step 3: Cross multiply
    22,753.44x = 34,107.12 × 9,609.12
  4. Step 4: Simplify right side
    22,753.44x = 327,739,408.93
  5. Step 5: Solve for x
    x = 327,739,408.93/22,753.44
  6. Step 6: Final answer
    x = 14,403.95

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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.