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Finding the Fourth Proportional to 13,772.30, 20,658.45 and 3,911.90

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Solution

The fourth proportional to 13,772.30, 20,658.45 and 3,911.90 is: 5,867.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,772.30 : 20,658.45 = 3,911.90 : x
  2. Step 2: Convert to fraction form
    13,772.30/20,658.45 = 3,911.90/x
  3. Step 3: Cross multiply
    13,772.30x = 20,658.45 × 3,911.90
  4. Step 4: Simplify right side
    13,772.30x = 80,813,790.56
  5. Step 5: Solve for x
    x = 80,813,790.56/13,772.30
  6. Step 6: Final answer
    x = 5,867.85

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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.