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Finding the Fourth Proportional to 21,891.33, 32,840.24 and 8,039.25

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Solution

The fourth proportional to 21,891.33, 32,840.24 and 8,039.25 is: 12,060.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,891.33 : 32,840.24 = 8,039.25 : x
  2. Step 2: Convert to fraction form
    21,891.33/32,840.24 = 8,039.25/x
  3. Step 3: Cross multiply
    21,891.33x = 32,840.24 × 8,039.25
  4. Step 4: Simplify right side
    21,891.33x = 264,010,899.42
  5. Step 5: Solve for x
    x = 264,010,899.42/21,891.33
  6. Step 6: Final answer
    x = 12,060.07

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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.