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Finding the Fourth Proportional to 17,212.68, 25,819.02 and 6,822

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Solution

The fourth proportional to 17,212.68, 25,819.02 and 6,822 is: 10,233

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,212.68 : 25,819.02 = 6,822 : x
  2. Step 2: Convert to fraction form
    17,212.68/25,819.02 = 6,822/x
  3. Step 3: Cross multiply
    17,212.68x = 25,819.02 × 6,822
  4. Step 4: Simplify right side
    17,212.68x = 176,137,354.44
  5. Step 5: Solve for x
    x = 176,137,354.44/17,212.68
  6. Step 6: Final answer
    x = 10,233

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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.