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Finding the Fourth Proportional to 17,314.56, 23,896.08 and 10,243.44

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Solution

The fourth proportional to 17,314.56, 23,896.08 and 10,243.44 is: 14,137.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,314.56 : 23,896.08 = 10,243.44 : x
  2. Step 2: Convert to fraction form
    17,314.56/23,896.08 = 10,243.44/x
  3. Step 3: Cross multiply
    17,314.56x = 23,896.08 × 10,243.44
  4. Step 4: Simplify right side
    17,314.56x = 244,778,061.72
  5. Step 5: Solve for x
    x = 244,778,061.72/17,314.56
  6. Step 6: Final answer
    x = 14,137.12

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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.