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Finding the Fourth Proportional to 17,033.90, 23,507.82 and 9,961.38

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Solution

The fourth proportional to 17,033.90, 23,507.82 and 9,961.38 is: 13,747.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,033.90 : 23,507.82 = 9,961.38 : x
  2. Step 2: Convert to fraction form
    17,033.90/23,507.82 = 9,961.38/x
  3. Step 3: Cross multiply
    17,033.90x = 23,507.82 × 9,961.38
  4. Step 4: Simplify right side
    17,033.90x = 234,170,327.99
  5. Step 5: Solve for x
    x = 234,170,327.99/17,033.90
  6. Step 6: Final answer
    x = 13,747.32

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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.