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Finding the Fourth Proportional to 16,964.97, 23,411.49 and 9,411.31

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Solution

The fourth proportional to 16,964.97, 23,411.49 and 9,411.31 is: 12,987.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,964.97 : 23,411.49 = 9,411.31 : x
  2. Step 2: Convert to fraction form
    16,964.97/23,411.49 = 9,411.31/x
  3. Step 3: Cross multiply
    16,964.97x = 23,411.49 × 9,411.31
  4. Step 4: Simplify right side
    16,964.97x = 220,332,789.95
  5. Step 5: Solve for x
    x = 220,332,789.95/16,964.97
  6. Step 6: Final answer
    x = 12,987.51

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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.