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Finding the Fourth Proportional to 13,394.70, 20,083.89 and 5,997.78

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Solution

The fourth proportional to 13,394.70, 20,083.89 and 5,997.78 is: 8,993.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,394.70 : 20,083.89 = 5,997.78 : x
  2. Step 2: Convert to fraction form
    13,394.70/20,083.89 = 5,997.78/x
  3. Step 3: Cross multiply
    13,394.70x = 20,083.89 × 5,997.78
  4. Step 4: Simplify right side
    13,394.70x = 120,458,753.76
  5. Step 5: Solve for x
    x = 120,458,753.76/13,394.70
  6. Step 6: Final answer
    x = 8,993.02

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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.