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Finding the Fourth Proportional to 13,794.98, 20,676.26 and 6,383.78

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Solution

The fourth proportional to 13,794.98, 20,676.26 and 6,383.78 is: 9,568.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,794.98 : 20,676.26 = 6,383.78 : x
  2. Step 2: Convert to fraction form
    13,794.98/20,676.26 = 6,383.78/x
  3. Step 3: Cross multiply
    13,794.98x = 20,676.26 × 6,383.78
  4. Step 4: Simplify right side
    13,794.98x = 131,992,685.18
  5. Step 5: Solve for x
    x = 131,992,685.18/13,794.98
  6. Step 6: Final answer
    x = 9,568.17

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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.