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Finding the Fourth Proportional to 16,694.68, 23,043.80 and 9,625.80

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Solution

The fourth proportional to 16,694.68, 23,043.80 and 9,625.80 is: 13,286.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,694.68 : 23,043.80 = 9,625.80 : x
  2. Step 2: Convert to fraction form
    16,694.68/23,043.80 = 9,625.80/x
  3. Step 3: Cross multiply
    16,694.68x = 23,043.80 × 9,625.80
  4. Step 4: Simplify right side
    16,694.68x = 221,815,010.04
  5. Step 5: Solve for x
    x = 221,815,010.04/16,694.68
  6. Step 6: Final answer
    x = 13,286.57

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Why These Related Problems?

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