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Finding the Fourth Proportional to 21,891.82, 32,837.85 and 6,309.82

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Solution

The fourth proportional to 21,891.82, 32,837.85 and 6,309.82 is: 9,464.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,891.82 : 32,837.85 = 6,309.82 : x
  2. Step 2: Convert to fraction form
    21,891.82/32,837.85 = 6,309.82/x
  3. Step 3: Cross multiply
    21,891.82x = 32,837.85 × 6,309.82
  4. Step 4: Simplify right side
    21,891.82x = 207,200,922.69
  5. Step 5: Solve for x
    x = 207,200,922.69/21,891.82
  6. Step 6: Final answer
    x = 9,464.76

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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.