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Finding the Fourth Proportional to 21,891.26, 32,834.12 and 6,097.46

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Solution

The fourth proportional to 21,891.26, 32,834.12 and 6,097.46 is: 9,145.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,891.26 : 32,834.12 = 6,097.46 : x
  2. Step 2: Convert to fraction form
    21,891.26/32,834.12 = 6,097.46/x
  3. Step 3: Cross multiply
    21,891.26x = 32,834.12 × 6,097.46
  4. Step 4: Simplify right side
    21,891.26x = 200,204,733.34
  5. Step 5: Solve for x
    x = 200,204,733.34/21,891.26
  6. Step 6: Final answer
    x = 9,145.42

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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.