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Finding the Fourth Proportional to 17,185.27, 23,717.64 and 9,633.64

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Solution

The fourth proportional to 17,185.27, 23,717.64 and 9,633.64 is: 13,295.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,185.27 : 23,717.64 = 9,633.64 : x
  2. Step 2: Convert to fraction form
    17,185.27/23,717.64 = 9,633.64/x
  3. Step 3: Cross multiply
    17,185.27x = 23,717.64 × 9,633.64
  4. Step 4: Simplify right side
    17,185.27x = 228,487,205.41
  5. Step 5: Solve for x
    x = 228,487,205.41/17,185.27
  6. Step 6: Final answer
    x = 13,295.53

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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.