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Finding the Fourth Proportional to 11,963.97, 16,488.77 and 9,733.23

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Solution

The fourth proportional to 11,963.97, 16,488.77 and 9,733.23 is: 13,414.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,963.97 : 16,488.77 = 9,733.23 : x
  2. Step 2: Convert to fraction form
    11,963.97/16,488.77 = 9,733.23/x
  3. Step 3: Cross multiply
    11,963.97x = 16,488.77 × 9,733.23
  4. Step 4: Simplify right side
    11,963.97x = 160,488,942.16
  5. Step 5: Solve for x
    x = 160,488,942.16/11,963.97
  6. Step 6: Final answer
    x = 13,414.36

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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.