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Finding the Fourth Proportional to 22,343.72, 30,834.72 and 12,272.59

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Solution

The fourth proportional to 22,343.72, 30,834.72 and 12,272.59 is: 16,936.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,343.72 : 30,834.72 = 12,272.59 : x
  2. Step 2: Convert to fraction form
    22,343.72/30,834.72 = 12,272.59/x
  3. Step 3: Cross multiply
    22,343.72x = 30,834.72 × 12,272.59
  4. Step 4: Simplify right side
    22,343.72x = 378,421,799.24
  5. Step 5: Solve for x
    x = 378,421,799.24/22,343.72
  6. Step 6: Final answer
    x = 16,936.38

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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.