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Finding the Fourth Proportional to 12,626.50, 18,943.68 and 5,234.44

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Solution

The fourth proportional to 12,626.50, 18,943.68 and 5,234.44 is: 7,853.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,626.50 : 18,943.68 = 5,234.44 : x
  2. Step 2: Convert to fraction form
    12,626.50/18,943.68 = 5,234.44/x
  3. Step 3: Cross multiply
    12,626.50x = 18,943.68 × 5,234.44
  4. Step 4: Simplify right side
    12,626.50x = 99,159,556.34
  5. Step 5: Solve for x
    x = 99,159,556.34/12,626.50
  6. Step 6: Final answer
    x = 7,853.29

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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.