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Finding the Fourth Proportional to 13,865.30, 20,794.89 and 4,002.44

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Solution

The fourth proportional to 13,865.30, 20,794.89 and 4,002.44 is: 6,002.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,865.30 : 20,794.89 = 4,002.44 : x
  2. Step 2: Convert to fraction form
    13,865.30/20,794.89 = 4,002.44/x
  3. Step 3: Cross multiply
    13,865.30x = 20,794.89 × 4,002.44
  4. Step 4: Simplify right side
    13,865.30x = 83,230,299.53
  5. Step 5: Solve for x
    x = 83,230,299.53/13,865.30
  6. Step 6: Final answer
    x = 6,002.78

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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.