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Finding the Fourth Proportional to 17,286.76, 23,822.58 and 11,971.72

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Solution

The fourth proportional to 17,286.76, 23,822.58 and 11,971.72 is: 16,498.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,286.76 : 23,822.58 = 11,971.72 : x
  2. Step 2: Convert to fraction form
    17,286.76/23,822.58 = 11,971.72/x
  3. Step 3: Cross multiply
    17,286.76x = 23,822.58 × 11,971.72
  4. Step 4: Simplify right side
    17,286.76x = 285,197,257.44
  5. Step 5: Solve for x
    x = 285,197,257.44/17,286.76
  6. Step 6: Final answer
    x = 16,498.02

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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.