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Finding the Fourth Proportional to 15,714, 21,685.93 and 8,640.27

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Solution

The fourth proportional to 15,714, 21,685.93 and 8,640.27 is: 11,923.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,714 : 21,685.93 = 8,640.27 : x
  2. Step 2: Convert to fraction form
    15,714/21,685.93 = 8,640.27/x
  3. Step 3: Cross multiply
    15,714x = 21,685.93 × 8,640.27
  4. Step 4: Simplify right side
    15,714x = 187,372,268.80
  5. Step 5: Solve for x
    x = 187,372,268.80/15,714
  6. Step 6: Final answer
    x = 11,923.91

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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.