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Finding the Fourth Proportional to 22,523.58, 33,794.82 and 10,035

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Solution

The fourth proportional to 22,523.58, 33,794.82 and 10,035 is: 15,056.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,523.58 : 33,794.82 = 10,035 : x
  2. Step 2: Convert to fraction form
    22,523.58/33,794.82 = 10,035/x
  3. Step 3: Cross multiply
    22,523.58x = 33,794.82 × 10,035
  4. Step 4: Simplify right side
    22,523.58x = 339,131,018.70
  5. Step 5: Solve for x
    x = 339,131,018.70/22,523.58
  6. Step 6: Final answer
    x = 15,056.71

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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.