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Finding the Fourth Proportional to 13,394.64, 20,104.41 and 6,825.75

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Solution

The fourth proportional to 13,394.64, 20,104.41 and 6,825.75 is: 10,244.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,394.64 : 20,104.41 = 6,825.75 : x
  2. Step 2: Convert to fraction form
    13,394.64/20,104.41 = 6,825.75/x
  3. Step 3: Cross multiply
    13,394.64x = 20,104.41 × 6,825.75
  4. Step 4: Simplify right side
    13,394.64x = 137,227,676.56
  5. Step 5: Solve for x
    x = 137,227,676.56/13,394.64
  6. Step 6: Final answer
    x = 10,244.97

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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.