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Finding the Fourth Proportional to 22,958.64, 34,442.82 and 8,172.09

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Solution

The fourth proportional to 22,958.64, 34,442.82 and 8,172.09 is: 12,259.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,958.64 : 34,442.82 = 8,172.09 : x
  2. Step 2: Convert to fraction form
    22,958.64/34,442.82 = 8,172.09/x
  3. Step 3: Cross multiply
    22,958.64x = 34,442.82 × 8,172.09
  4. Step 4: Simplify right side
    22,958.64x = 281,469,824.89
  5. Step 5: Solve for x
    x = 281,469,824.89/22,958.64
  6. Step 6: Final answer
    x = 12,259.86

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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.