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Finding the Fourth Proportional to 16,642.92, 24,954.97 and 6,770.61

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Solution

The fourth proportional to 16,642.92, 24,954.97 and 6,770.61 is: 10,152.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,642.92 : 24,954.97 = 6,770.61 : x
  2. Step 2: Convert to fraction form
    16,642.92/24,954.97 = 6,770.61/x
  3. Step 3: Cross multiply
    16,642.92x = 24,954.97 × 6,770.61
  4. Step 4: Simplify right side
    16,642.92x = 168,960,369.43
  5. Step 5: Solve for x
    x = 168,960,369.43/16,642.92
  6. Step 6: Final answer
    x = 10,152.09

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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.