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Finding the Fourth Proportional to 13,874.25, 20,817.30 and 9,195.90

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Solution

The fourth proportional to 13,874.25, 20,817.30 and 9,195.90 is: 13,797.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,874.25 : 20,817.30 = 9,195.90 : x
  2. Step 2: Convert to fraction form
    13,874.25/20,817.30 = 9,195.90/x
  3. Step 3: Cross multiply
    13,874.25x = 20,817.30 × 9,195.90
  4. Step 4: Simplify right side
    13,874.25x = 191,433,765.49
  5. Step 5: Solve for x
    x = 191,433,765.49/13,874.25
  6. Step 6: Final answer
    x = 13,797.77

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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.