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Finding the Fourth Proportional to 12,524.39, 17,284.96 and 7,422.94

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Solution

The fourth proportional to 12,524.39, 17,284.96 and 7,422.94 is: 10,244.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,524.39 : 17,284.96 = 7,422.94 : x
  2. Step 2: Convert to fraction form
    12,524.39/17,284.96 = 7,422.94/x
  3. Step 3: Cross multiply
    12,524.39x = 17,284.96 × 7,422.94
  4. Step 4: Simplify right side
    12,524.39x = 128,305,251.87
  5. Step 5: Solve for x
    x = 128,305,251.87/12,524.39
  6. Step 6: Final answer
    x = 10,244.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.