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Finding the Fourth Proportional to 22,956.82, 34,423.27 and 8,163.59

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Solution

The fourth proportional to 22,956.82, 34,423.27 and 8,163.59 is: 12,241.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,956.82 : 34,423.27 = 8,163.59 : x
  2. Step 2: Convert to fraction form
    22,956.82/34,423.27 = 8,163.59/x
  3. Step 3: Cross multiply
    22,956.82x = 34,423.27 × 8,163.59
  4. Step 4: Simplify right side
    22,956.82x = 281,017,270.21
  5. Step 5: Solve for x
    x = 281,017,270.21/22,956.82
  6. Step 6: Final answer
    x = 12,241.12

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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.