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Finding the Fourth Proportional to 22,883.62, 34,325.46 and 8,084.44

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Solution

The fourth proportional to 22,883.62, 34,325.46 and 8,084.44 is: 12,126.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,883.62 : 34,325.46 = 8,084.44 : x
  2. Step 2: Convert to fraction form
    22,883.62/34,325.46 = 8,084.44/x
  3. Step 3: Cross multiply
    22,883.62x = 34,325.46 × 8,084.44
  4. Step 4: Simplify right side
    22,883.62x = 277,502,121.84
  5. Step 5: Solve for x
    x = 277,502,121.84/22,883.62
  6. Step 6: Final answer
    x = 12,126.67

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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.