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Finding the Fourth Proportional to 17,116.14, 23,618.90 and 9,561.88

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Solution

The fourth proportional to 17,116.14, 23,618.90 and 9,561.88 is: 13,194.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,116.14 : 23,618.90 = 9,561.88 : x
  2. Step 2: Convert to fraction form
    17,116.14/23,618.90 = 9,561.88/x
  3. Step 3: Cross multiply
    17,116.14x = 23,618.90 × 9,561.88
  4. Step 4: Simplify right side
    17,116.14x = 225,841,087.53
  5. Step 5: Solve for x
    x = 225,841,087.53/17,116.14
  6. Step 6: Final answer
    x = 13,194.63

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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.