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Finding the Fourth Proportional to 23,111, 31,896.96 and 14,163.44

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Solution

The fourth proportional to 23,111, 31,896.96 and 14,163.44 is: 19,547.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,111 : 31,896.96 = 14,163.44 : x
  2. Step 2: Convert to fraction form
    23,111/31,896.96 = 14,163.44/x
  3. Step 3: Cross multiply
    23,111x = 31,896.96 × 14,163.44
  4. Step 4: Simplify right side
    23,111x = 451,770,679.14
  5. Step 5: Solve for x
    x = 451,770,679.14/23,111
  6. Step 6: Final answer
    x = 19,547.86

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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.