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Finding the Fourth Proportional to 12,138.75, 18,170.40 and 6,578.30

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Solution

The fourth proportional to 12,138.75, 18,170.40 and 6,578.30 is: 9,847.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,138.75 : 18,170.40 = 6,578.30 : x
  2. Step 2: Convert to fraction form
    12,138.75/18,170.40 = 6,578.30/x
  3. Step 3: Cross multiply
    12,138.75x = 18,170.40 × 6,578.30
  4. Step 4: Simplify right side
    12,138.75x = 119,530,342.32
  5. Step 5: Solve for x
    x = 119,530,342.32/12,138.75
  6. Step 6: Final answer
    x = 9,847.01

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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.