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Finding the Fourth Proportional to 16,836.23, 23,229.44 and 9,568.22

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Solution

The fourth proportional to 16,836.23, 23,229.44 and 9,568.22 is: 13,201.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,836.23 : 23,229.44 = 9,568.22 : x
  2. Step 2: Convert to fraction form
    16,836.23/23,229.44 = 9,568.22/x
  3. Step 3: Cross multiply
    16,836.23x = 23,229.44 × 9,568.22
  4. Step 4: Simplify right side
    16,836.23x = 222,264,300.17
  5. Step 5: Solve for x
    x = 222,264,300.17/16,836.23
  6. Step 6: Final answer
    x = 13,201.55

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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.