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Finding the Fourth Proportional to 21,671.26, 32,454.94 and 11,786.02

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Solution

The fourth proportional to 21,671.26, 32,454.94 and 11,786.02 is: 17,650.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,671.26 : 32,454.94 = 11,786.02 : x
  2. Step 2: Convert to fraction form
    21,671.26/32,454.94 = 11,786.02/x
  3. Step 3: Cross multiply
    21,671.26x = 32,454.94 × 11,786.02
  4. Step 4: Simplify right side
    21,671.26x = 382,514,571.94
  5. Step 5: Solve for x
    x = 382,514,571.94/21,671.26
  6. Step 6: Final answer
    x = 17,650.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.