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Finding the Fourth Proportional to 13,676.54, 20,507.52 and 7,086.38

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Solution

The fourth proportional to 13,676.54, 20,507.52 and 7,086.38 is: 10,625.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,676.54 : 20,507.52 = 7,086.38 : x
  2. Step 2: Convert to fraction form
    13,676.54/20,507.52 = 7,086.38/x
  3. Step 3: Cross multiply
    13,676.54x = 20,507.52 × 7,086.38
  4. Step 4: Simplify right side
    13,676.54x = 145,324,079.58
  5. Step 5: Solve for x
    x = 145,324,079.58/13,676.54
  6. Step 6: Final answer
    x = 10,625.79

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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.