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Finding the Fourth Proportional to 16,891.69, 25,343 and 8,125.46

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Solution

The fourth proportional to 16,891.69, 25,343 and 8,125.46 is: 12,190.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,891.69 : 25,343 = 8,125.46 : x
  2. Step 2: Convert to fraction form
    16,891.69/25,343 = 8,125.46/x
  3. Step 3: Cross multiply
    16,891.69x = 25,343 × 8,125.46
  4. Step 4: Simplify right side
    16,891.69x = 205,923,532.78
  5. Step 5: Solve for x
    x = 205,923,532.78/16,891.69
  6. Step 6: Final answer
    x = 12,190.82

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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.