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Finding the Fourth Proportional to 17,122.14, 23,629.06 and 9,568.49

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Solution

The fourth proportional to 17,122.14, 23,629.06 and 9,568.49 is: 13,204.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,122.14 : 23,629.06 = 9,568.49 : x
  2. Step 2: Convert to fraction form
    17,122.14/23,629.06 = 9,568.49/x
  3. Step 3: Cross multiply
    17,122.14x = 23,629.06 × 9,568.49
  4. Step 4: Simplify right side
    17,122.14x = 226,094,497.73
  5. Step 5: Solve for x
    x = 226,094,497.73/17,122.14
  6. Step 6: Final answer
    x = 13,204.80

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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.