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Finding the Fourth Proportional to 24,867, 37,310.94 and 10,086.48

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Solution

The fourth proportional to 24,867, 37,310.94 and 10,086.48 is: 15,133.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,867 : 37,310.94 = 10,086.48 : x
  2. Step 2: Convert to fraction form
    24,867/37,310.94 = 10,086.48/x
  3. Step 3: Cross multiply
    24,867x = 37,310.94 × 10,086.48
  4. Step 4: Simplify right side
    24,867x = 376,336,050.09
  5. Step 5: Solve for x
    x = 376,336,050.09/24,867
  6. Step 6: Final answer
    x = 15,133.95

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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.