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Finding the Fourth Proportional to 17,367.50, 23,967 and 9,813.69

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Solution

The fourth proportional to 17,367.50, 23,967 and 9,813.69 is: 13,542.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,367.50 : 23,967 = 9,813.69 : x
  2. Step 2: Convert to fraction form
    17,367.50/23,967 = 9,813.69/x
  3. Step 3: Cross multiply
    17,367.50x = 23,967 × 9,813.69
  4. Step 4: Simplify right side
    17,367.50x = 235,204,708.23
  5. Step 5: Solve for x
    x = 235,204,708.23/17,367.50
  6. Step 6: Final answer
    x = 13,542.81

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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.