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Finding the Fourth Proportional to 17,135.98, 23,645.25 and 9,581.38

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Solution

The fourth proportional to 17,135.98, 23,645.25 and 9,581.38 is: 13,220.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,135.98 : 23,645.25 = 9,581.38 : x
  2. Step 2: Convert to fraction form
    17,135.98/23,645.25 = 9,581.38/x
  3. Step 3: Cross multiply
    17,135.98x = 23,645.25 × 9,581.38
  4. Step 4: Simplify right side
    17,135.98x = 226,554,125.45
  5. Step 5: Solve for x
    x = 226,554,125.45/17,135.98
  6. Step 6: Final answer
    x = 13,220.96

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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.