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Finding the Fourth Proportional to 13,618.80, 20,447.40 and 8,434.80

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Solution

The fourth proportional to 13,618.80, 20,447.40 and 8,434.80 is: 12,664.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,618.80 : 20,447.40 = 8,434.80 : x
  2. Step 2: Convert to fraction form
    13,618.80/20,447.40 = 8,434.80/x
  3. Step 3: Cross multiply
    13,618.80x = 20,447.40 × 8,434.80
  4. Step 4: Simplify right side
    13,618.80x = 172,469,729.52
  5. Step 5: Solve for x
    x = 172,469,729.52/13,618.80
  6. Step 6: Final answer
    x = 12,664.09

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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.