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Finding the Fourth Proportional to 17,167.48, 25,744.74 and 7,927

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Solution

The fourth proportional to 17,167.48, 25,744.74 and 7,927 is: 11,887.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,167.48 : 25,744.74 = 7,927 : x
  2. Step 2: Convert to fraction form
    17,167.48/25,744.74 = 7,927/x
  3. Step 3: Cross multiply
    17,167.48x = 25,744.74 × 7,927
  4. Step 4: Simplify right side
    17,167.48x = 204,078,553.98
  5. Step 5: Solve for x
    x = 204,078,553.98/17,167.48
  6. Step 6: Final answer
    x = 11,887.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.