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Finding the Fourth Proportional to 13,676.46, 20,518.16 and 3,815.73

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Solution

The fourth proportional to 13,676.46, 20,518.16 and 3,815.73 is: 5,724.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,676.46 : 20,518.16 = 3,815.73 : x
  2. Step 2: Convert to fraction form
    13,676.46/20,518.16 = 3,815.73/x
  3. Step 3: Cross multiply
    13,676.46x = 20,518.16 × 3,815.73
  4. Step 4: Simplify right side
    13,676.46x = 78,291,739.58
  5. Step 5: Solve for x
    x = 78,291,739.58/13,676.46
  6. Step 6: Final answer
    x = 5,724.56

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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.