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Finding the Fourth Proportional to 12,578.90, 18,868.14 and 3,218.83

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Solution

The fourth proportional to 12,578.90, 18,868.14 and 3,218.83 is: 4,828.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,578.90 : 18,868.14 = 3,218.83 : x
  2. Step 2: Convert to fraction form
    12,578.90/18,868.14 = 3,218.83/x
  3. Step 3: Cross multiply
    12,578.90x = 18,868.14 × 3,218.83
  4. Step 4: Simplify right side
    12,578.90x = 60,733,287.91
  5. Step 5: Solve for x
    x = 60,733,287.91/12,578.90
  6. Step 6: Final answer
    x = 4,828.19

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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.