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Finding the Fourth Proportional to 17,389.50, 23,997.26 and 9,431.57

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Solution

The fourth proportional to 17,389.50, 23,997.26 and 9,431.57 is: 13,015.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,389.50 : 23,997.26 = 9,431.57 : x
  2. Step 2: Convert to fraction form
    17,389.50/23,997.26 = 9,431.57/x
  3. Step 3: Cross multiply
    17,389.50x = 23,997.26 × 9,431.57
  4. Step 4: Simplify right side
    17,389.50x = 226,331,670.35
  5. Step 5: Solve for x
    x = 226,331,670.35/17,389.50
  6. Step 6: Final answer
    x = 13,015.42

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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.