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Finding the Fourth Proportional to 17,115.82, 23,617.50 and 9,561.22

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Solution

The fourth proportional to 17,115.82, 23,617.50 and 9,561.22 is: 13,193.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,115.82 : 23,617.50 = 9,561.22 : x
  2. Step 2: Convert to fraction form
    17,115.82/23,617.50 = 9,561.22/x
  3. Step 3: Cross multiply
    17,115.82x = 23,617.50 × 9,561.22
  4. Step 4: Simplify right side
    17,115.82x = 225,811,995.26
  5. Step 5: Solve for x
    x = 225,811,995.26/17,115.82
  6. Step 6: Final answer
    x = 13,193.18

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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.