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Finding the Fourth Proportional to 21,788.33, 32,687.94 and 6,205.95

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Solution

The fourth proportional to 21,788.33, 32,687.94 and 6,205.95 is: 9,310.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,788.33 : 32,687.94 = 6,205.95 : x
  2. Step 2: Convert to fraction form
    21,788.33/32,687.94 = 6,205.95/x
  3. Step 3: Cross multiply
    21,788.33x = 32,687.94 × 6,205.95
  4. Step 4: Simplify right side
    21,788.33x = 202,859,867.10
  5. Step 5: Solve for x
    x = 202,859,867.10/21,788.33
  6. Step 6: Final answer
    x = 9,310.48

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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.