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Finding the Fourth Proportional to 13,813.96, 20,730.51 and 5,493.19

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Solution

The fourth proportional to 13,813.96, 20,730.51 and 5,493.19 is: 8,243.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,813.96 : 20,730.51 = 5,493.19 : x
  2. Step 2: Convert to fraction form
    13,813.96/20,730.51 = 5,493.19/x
  3. Step 3: Cross multiply
    13,813.96x = 20,730.51 × 5,493.19
  4. Step 4: Simplify right side
    13,813.96x = 113,876,578.40
  5. Step 5: Solve for x
    x = 113,876,578.40/13,813.96
  6. Step 6: Final answer
    x = 8,243.59

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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.