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Finding the Fourth Proportional to 21,682.88, 32,524 and 6,891.44

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Solution

The fourth proportional to 21,682.88, 32,524 and 6,891.44 is: 10,337.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,682.88 : 32,524 = 6,891.44 : x
  2. Step 2: Convert to fraction form
    21,682.88/32,524 = 6,891.44/x
  3. Step 3: Cross multiply
    21,682.88x = 32,524 × 6,891.44
  4. Step 4: Simplify right side
    21,682.88x = 224,137,194.56
  5. Step 5: Solve for x
    x = 224,137,194.56/21,682.88
  6. Step 6: Final answer
    x = 10,337.06

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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.