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Finding the Fourth Proportional to 18,231.60, 27,348.96 and 5,084

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Solution

The fourth proportional to 18,231.60, 27,348.96 and 5,084 is: 7,626.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,231.60 : 27,348.96 = 5,084 : x
  2. Step 2: Convert to fraction form
    18,231.60/27,348.96 = 5,084/x
  3. Step 3: Cross multiply
    18,231.60x = 27,348.96 × 5,084
  4. Step 4: Simplify right side
    18,231.60x = 139,042,112.64
  5. Step 5: Solve for x
    x = 139,042,112.64/18,231.60
  6. Step 6: Final answer
    x = 7,626.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.