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Finding the Fourth Proportional to 13,794.89, 20,694.42 and 5,027.76

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Solution

The fourth proportional to 13,794.89, 20,694.42 and 5,027.76 is: 7,542.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,794.89 : 20,694.42 = 5,027.76 : x
  2. Step 2: Convert to fraction form
    13,794.89/20,694.42 = 5,027.76/x
  3. Step 3: Cross multiply
    13,794.89x = 20,694.42 × 5,027.76
  4. Step 4: Simplify right side
    13,794.89x = 104,046,577.10
  5. Step 5: Solve for x
    x = 104,046,577.10/13,794.89
  6. Step 6: Final answer
    x = 7,542.40

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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.