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Finding the Fourth Proportional to 13,446.98, 20,149.40 and 8,506.19

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Solution

The fourth proportional to 13,446.98, 20,149.40 and 8,506.19 is: 12,745.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,446.98 : 20,149.40 = 8,506.19 : x
  2. Step 2: Convert to fraction form
    13,446.98/20,149.40 = 8,506.19/x
  3. Step 3: Cross multiply
    13,446.98x = 20,149.40 × 8,506.19
  4. Step 4: Simplify right side
    13,446.98x = 171,394,545.30
  5. Step 5: Solve for x
    x = 171,394,545.30/13,446.98
  6. Step 6: Final answer
    x = 12,745.95

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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.