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Finding the Fourth Proportional to 17,006.96, 23,469 and 9,938

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Solution

The fourth proportional to 17,006.96, 23,469 and 9,938 is: 13,714.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,006.96 : 23,469 = 9,938 : x
  2. Step 2: Convert to fraction form
    17,006.96/23,469 = 9,938/x
  3. Step 3: Cross multiply
    17,006.96x = 23,469 × 9,938
  4. Step 4: Simplify right side
    17,006.96x = 233,234,922
  5. Step 5: Solve for x
    x = 233,234,922/17,006.96
  6. Step 6: Final answer
    x = 13,714.09

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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.