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Finding the Fourth Proportional to 21,788.25, 32,687.83 and 6,205.88

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Solution

The fourth proportional to 21,788.25, 32,687.83 and 6,205.88 is: 9,310.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,788.25 : 32,687.83 = 6,205.88 : x
  2. Step 2: Convert to fraction form
    21,788.25/32,687.83 = 6,205.88/x
  3. Step 3: Cross multiply
    21,788.25x = 32,687.83 × 6,205.88
  4. Step 4: Simplify right side
    21,788.25x = 202,856,653.21
  5. Step 5: Solve for x
    x = 202,856,653.21/21,788.25
  6. Step 6: Final answer
    x = 9,310.37

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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.