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Finding the Fourth Proportional to 13,794.13, 20,674.99 and 6,382.94

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Solution

The fourth proportional to 13,794.13, 20,674.99 and 6,382.94 is: 9,566.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,794.13 : 20,674.99 = 6,382.94 : x
  2. Step 2: Convert to fraction form
    13,794.13/20,674.99 = 6,382.94/x
  3. Step 3: Cross multiply
    13,794.13x = 20,674.99 × 6,382.94
  4. Step 4: Simplify right side
    13,794.13x = 131,967,125.27
  5. Step 5: Solve for x
    x = 131,967,125.27/13,794.13
  6. Step 6: Final answer
    x = 9,566.90

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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.