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Finding the Fourth Proportional to 22,874.48, 34,311.64 and 8,084.24

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Solution

The fourth proportional to 22,874.48, 34,311.64 and 8,084.24 is: 12,126.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,874.48 : 34,311.64 = 8,084.24 : x
  2. Step 2: Convert to fraction form
    22,874.48/34,311.64 = 8,084.24/x
  3. Step 3: Cross multiply
    22,874.48x = 34,311.64 × 8,084.24
  4. Step 4: Simplify right side
    22,874.48x = 277,383,532.55
  5. Step 5: Solve for x
    x = 277,383,532.55/22,874.48
  6. Step 6: Final answer
    x = 12,126.33

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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.