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Finding the Fourth Proportional to 17,232.13, 23,778.66 and 9,676.74

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Solution

The fourth proportional to 17,232.13, 23,778.66 and 9,676.74 is: 13,352.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,232.13 : 23,778.66 = 9,676.74 : x
  2. Step 2: Convert to fraction form
    17,232.13/23,778.66 = 9,676.74/x
  3. Step 3: Cross multiply
    17,232.13x = 23,778.66 × 9,676.74
  4. Step 4: Simplify right side
    17,232.13x = 230,099,910.37
  5. Step 5: Solve for x
    x = 230,099,910.37/17,232.13
  6. Step 6: Final answer
    x = 13,352.96

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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.