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Finding the Fourth Proportional to 12,578.20, 18,867.30 and 3,218.20

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Solution

The fourth proportional to 12,578.20, 18,867.30 and 3,218.20 is: 4,827.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,578.20 : 18,867.30 = 3,218.20 : x
  2. Step 2: Convert to fraction form
    12,578.20/18,867.30 = 3,218.20/x
  3. Step 3: Cross multiply
    12,578.20x = 18,867.30 × 3,218.20
  4. Step 4: Simplify right side
    12,578.20x = 60,718,744.86
  5. Step 5: Solve for x
    x = 60,718,744.86/12,578.20
  6. Step 6: Final answer
    x = 4,827.30

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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.