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Finding the Fourth Proportional to 13,076.92, 19,604.31 and 5,675.80

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Solution

The fourth proportional to 13,076.92, 19,604.31 and 5,675.80 is: 8,508.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,076.92 : 19,604.31 = 5,675.80 : x
  2. Step 2: Convert to fraction form
    13,076.92/19,604.31 = 5,675.80/x
  3. Step 3: Cross multiply
    13,076.92x = 19,604.31 × 5,675.80
  4. Step 4: Simplify right side
    13,076.92x = 111,270,142.70
  5. Step 5: Solve for x
    x = 111,270,142.70/13,076.92
  6. Step 6: Final answer
    x = 8,508.90

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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.