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Finding the Fourth Proportional to 17,121.64, 23,625.38 and 10,046.44

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Solution

The fourth proportional to 17,121.64, 23,625.38 and 10,046.44 is: 13,862.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,121.64 : 23,625.38 = 10,046.44 : x
  2. Step 2: Convert to fraction form
    17,121.64/23,625.38 = 10,046.44/x
  3. Step 3: Cross multiply
    17,121.64x = 23,625.38 × 10,046.44
  4. Step 4: Simplify right side
    17,121.64x = 237,350,962.65
  5. Step 5: Solve for x
    x = 237,350,962.65/17,121.64
  6. Step 6: Final answer
    x = 13,862.63

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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.