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Finding the Fourth Proportional to 17,164.88, 23,689.77 and 9,614.09

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Solution

The fourth proportional to 17,164.88, 23,689.77 and 9,614.09 is: 13,268.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,164.88 : 23,689.77 = 9,614.09 : x
  2. Step 2: Convert to fraction form
    17,164.88/23,689.77 = 9,614.09/x
  3. Step 3: Cross multiply
    17,164.88x = 23,689.77 × 9,614.09
  4. Step 4: Simplify right side
    17,164.88x = 227,755,604.03
  5. Step 5: Solve for x
    x = 227,755,604.03/17,164.88
  6. Step 6: Final answer
    x = 13,268.70

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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.