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Finding the Fourth Proportional to 12,424.62, 18,627.12 and 6,181.22

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Solution

The fourth proportional to 12,424.62, 18,627.12 and 6,181.22 is: 9,266.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,424.62 : 18,627.12 = 6,181.22 : x
  2. Step 2: Convert to fraction form
    12,424.62/18,627.12 = 6,181.22/x
  3. Step 3: Cross multiply
    12,424.62x = 18,627.12 × 6,181.22
  4. Step 4: Simplify right side
    12,424.62x = 115,138,388.71
  5. Step 5: Solve for x
    x = 115,138,388.71/12,424.62
  6. Step 6: Final answer
    x = 9,266.95

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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.