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Finding the Fourth Proportional to 12,940.77, 19,394.92 and 5,536.54

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Solution

The fourth proportional to 12,940.77, 19,394.92 and 5,536.54 is: 8,297.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,940.77 : 19,394.92 = 5,536.54 : x
  2. Step 2: Convert to fraction form
    12,940.77/19,394.92 = 5,536.54/x
  3. Step 3: Cross multiply
    12,940.77x = 19,394.92 × 5,536.54
  4. Step 4: Simplify right side
    12,940.77x = 107,380,750.38
  5. Step 5: Solve for x
    x = 107,380,750.38/12,940.77
  6. Step 6: Final answer
    x = 8,297.86

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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.