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Finding the Fourth Proportional to 22,609.17, 33,906.82 and 15,634

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Solution

The fourth proportional to 22,609.17, 33,906.82 and 15,634 is: 23,446.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,609.17 : 33,906.82 = 15,634 : x
  2. Step 2: Convert to fraction form
    22,609.17/33,906.82 = 15,634/x
  3. Step 3: Cross multiply
    22,609.17x = 33,906.82 × 15,634
  4. Step 4: Simplify right side
    22,609.17x = 530,099,223.88
  5. Step 5: Solve for x
    x = 530,099,223.88/22,609.17
  6. Step 6: Final answer
    x = 23,446.20

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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.