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Finding the Fourth Proportional to 12,578.16, 18,869.96 and 3,813.72

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Solution

The fourth proportional to 12,578.16, 18,869.96 and 3,813.72 is: 5,721.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,578.16 : 18,869.96 = 3,813.72 : x
  2. Step 2: Convert to fraction form
    12,578.16/18,869.96 = 3,813.72/x
  3. Step 3: Cross multiply
    12,578.16x = 18,869.96 × 3,813.72
  4. Step 4: Simplify right side
    12,578.16x = 71,964,743.85
  5. Step 5: Solve for x
    x = 71,964,743.85/12,578.16
  6. Step 6: Final answer
    x = 5,721.40

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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.