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Finding the Fourth Proportional to 13,793.29, 20,673.73 and 6,382.09

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Solution

The fourth proportional to 13,793.29, 20,673.73 and 6,382.09 is: 9,565.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,793.29 : 20,673.73 = 6,382.09 : x
  2. Step 2: Convert to fraction form
    13,793.29/20,673.73 = 6,382.09/x
  3. Step 3: Cross multiply
    13,793.29x = 20,673.73 × 6,382.09
  4. Step 4: Simplify right side
    13,793.29x = 131,941,639.32
  5. Step 5: Solve for x
    x = 131,941,639.32/13,793.29
  6. Step 6: Final answer
    x = 9,565.64

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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.