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Finding the Fourth Proportional to 17,122.68, 23,629.82 and 9,568.76

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Solution

The fourth proportional to 17,122.68, 23,629.82 and 9,568.76 is: 13,205.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,122.68 : 23,629.82 = 9,568.76 : x
  2. Step 2: Convert to fraction form
    17,122.68/23,629.82 = 9,568.76/x
  3. Step 3: Cross multiply
    17,122.68x = 23,629.82 × 9,568.76
  4. Step 4: Simplify right side
    17,122.68x = 226,107,910.43
  5. Step 5: Solve for x
    x = 226,107,910.43/17,122.68
  6. Step 6: Final answer
    x = 13,205.17

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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.