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Finding the Fourth Proportional to 17,116.67, 23,620.77 and 9,563.74

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Solution

The fourth proportional to 17,116.67, 23,620.77 and 9,563.74 is: 13,197.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,116.67 : 23,620.77 = 9,563.74 : x
  2. Step 2: Convert to fraction form
    17,116.67/23,620.77 = 9,563.74/x
  3. Step 3: Cross multiply
    17,116.67x = 23,620.77 × 9,563.74
  4. Step 4: Simplify right side
    17,116.67x = 225,902,843.83
  5. Step 5: Solve for x
    x = 225,902,843.83/17,116.67
  6. Step 6: Final answer
    x = 13,197.82

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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.