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Finding the Fourth Proportional to 13,379.29, 20,078.16 and 4,614.20

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Solution

The fourth proportional to 13,379.29, 20,078.16 and 4,614.20 is: 6,924.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,379.29 : 20,078.16 = 4,614.20 : x
  2. Step 2: Convert to fraction form
    13,379.29/20,078.16 = 4,614.20/x
  3. Step 3: Cross multiply
    13,379.29x = 20,078.16 × 4,614.20
  4. Step 4: Simplify right side
    13,379.29x = 92,644,645.87
  5. Step 5: Solve for x
    x = 92,644,645.87/13,379.29
  6. Step 6: Final answer
    x = 6,924.48

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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.