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Finding the Fourth Proportional to 17,217.56, 23,754.29 and 9,662.85

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Solution

The fourth proportional to 17,217.56, 23,754.29 and 9,662.85 is: 13,331.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,217.56 : 23,754.29 = 9,662.85 : x
  2. Step 2: Convert to fraction form
    17,217.56/23,754.29 = 9,662.85/x
  3. Step 3: Cross multiply
    17,217.56x = 23,754.29 × 9,662.85
  4. Step 4: Simplify right side
    17,217.56x = 229,534,092.81
  5. Step 5: Solve for x
    x = 229,534,092.81/17,217.56
  6. Step 6: Final answer
    x = 13,331.39

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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.