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Finding the Fourth Proportional to 17,286.41, 23,853.74 and 9,629.12

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Solution

The fourth proportional to 17,286.41, 23,853.74 and 9,629.12 is: 13,287.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,286.41 : 23,853.74 = 9,629.12 : x
  2. Step 2: Convert to fraction form
    17,286.41/23,853.74 = 9,629.12/x
  3. Step 3: Cross multiply
    17,286.41x = 23,853.74 × 9,629.12
  4. Step 4: Simplify right side
    17,286.41x = 229,690,536.40
  5. Step 5: Solve for x
    x = 229,690,536.40/17,286.41
  6. Step 6: Final answer
    x = 13,287.35

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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.