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Finding the Fourth Proportional to 17,147, 23,662.86 and 9,696.44

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Solution

The fourth proportional to 17,147, 23,662.86 and 9,696.44 is: 13,381.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,147 : 23,662.86 = 9,696.44 : x
  2. Step 2: Convert to fraction form
    17,147/23,662.86 = 9,696.44/x
  3. Step 3: Cross multiply
    17,147x = 23,662.86 × 9,696.44
  4. Step 4: Simplify right side
    17,147x = 229,445,502.22
  5. Step 5: Solve for x
    x = 229,445,502.22/17,147
  6. Step 6: Final answer
    x = 13,381.09

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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.