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Finding the Fourth Proportional to 13,414.32, 20,201.80 and 12,217.23

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Solution

The fourth proportional to 13,414.32, 20,201.80 and 12,217.23 is: 18,398.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,414.32 : 20,201.80 = 12,217.23 : x
  2. Step 2: Convert to fraction form
    13,414.32/20,201.80 = 12,217.23/x
  3. Step 3: Cross multiply
    13,414.32x = 20,201.80 × 12,217.23
  4. Step 4: Simplify right side
    13,414.32x = 246,810,006.47
  5. Step 5: Solve for x
    x = 246,810,006.47/13,414.32
  6. Step 6: Final answer
    x = 18,398.99

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.