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Finding the Fourth Proportional to 13,414.82, 18,511.94 and 7,446.33

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Solution

The fourth proportional to 13,414.82, 18,511.94 and 7,446.33 is: 10,275.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,414.82 : 18,511.94 = 7,446.33 : x
  2. Step 2: Convert to fraction form
    13,414.82/18,511.94 = 7,446.33/x
  3. Step 3: Cross multiply
    13,414.82x = 18,511.94 × 7,446.33
  4. Step 4: Simplify right side
    13,414.82x = 137,846,032.80
  5. Step 5: Solve for x
    x = 137,846,032.80/13,414.82
  6. Step 6: Final answer
    x = 10,275.66

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.