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Finding the Fourth Proportional to 21,839.43, 32,759.06 and 6,257.06

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Solution

The fourth proportional to 21,839.43, 32,759.06 and 6,257.06 is: 9,385.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,839.43 : 32,759.06 = 6,257.06 : x
  2. Step 2: Convert to fraction form
    21,839.43/32,759.06 = 6,257.06/x
  3. Step 3: Cross multiply
    21,839.43x = 32,759.06 × 6,257.06
  4. Step 4: Simplify right side
    21,839.43x = 204,975,208.88
  5. Step 5: Solve for x
    x = 204,975,208.88/21,839.43
  6. Step 6: Final answer
    x = 9,385.56

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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.