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Finding the Fourth Proportional to 17,231.88, 23,778.32 and 9,676.49

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Solution

The fourth proportional to 17,231.88, 23,778.32 and 9,676.49 is: 13,352.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,231.88 : 23,778.32 = 9,676.49 : x
  2. Step 2: Convert to fraction form
    17,231.88/23,778.32 = 9,676.49/x
  3. Step 3: Cross multiply
    17,231.88x = 23,778.32 × 9,676.49
  4. Step 4: Simplify right side
    17,231.88x = 230,090,686.76
  5. Step 5: Solve for x
    x = 230,090,686.76/17,231.88
  6. Step 6: Final answer
    x = 13,352.62

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.