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Finding the Fourth Proportional to 13,286.97, 18,326.25 and 11,604.80

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Solution

The fourth proportional to 13,286.97, 18,326.25 and 11,604.80 is: 16,006.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,286.97 : 18,326.25 = 11,604.80 : x
  2. Step 2: Convert to fraction form
    13,286.97/18,326.25 = 11,604.80/x
  3. Step 3: Cross multiply
    13,286.97x = 18,326.25 × 11,604.80
  4. Step 4: Simplify right side
    13,286.97x = 212,672,511.82
  5. Step 5: Solve for x
    x = 212,672,511.82/13,286.97
  6. Step 6: Final answer
    x = 16,006.10

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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.