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Finding the Fourth Proportional to 12,138.08, 18,217.97 and 6,219

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Solution

The fourth proportional to 12,138.08, 18,217.97 and 6,219 is: 9,334.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,138.08 : 18,217.97 = 6,219 : x
  2. Step 2: Convert to fraction form
    12,138.08/18,217.97 = 6,219/x
  3. Step 3: Cross multiply
    12,138.08x = 18,217.97 × 6,219
  4. Step 4: Simplify right side
    12,138.08x = 113,297,555.43
  5. Step 5: Solve for x
    x = 113,297,555.43/12,138.08
  6. Step 6: Final answer
    x = 9,334.06

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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.