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Finding the Fourth Proportional to 13,382.62, 20,092.32 and 6,813.22

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Solution

The fourth proportional to 13,382.62, 20,092.32 and 6,813.22 is: 10,229.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,382.62 : 20,092.32 = 6,813.22 : x
  2. Step 2: Convert to fraction form
    13,382.62/20,092.32 = 6,813.22/x
  3. Step 3: Cross multiply
    13,382.62x = 20,092.32 × 6,813.22
  4. Step 4: Simplify right side
    13,382.62x = 136,893,396.47
  5. Step 5: Solve for x
    x = 136,893,396.47/13,382.62
  6. Step 6: Final answer
    x = 10,229.19

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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.