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Finding the Fourth Proportional to 23,162.29, 31,963.98 and 12,551.83

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Solution

The fourth proportional to 23,162.29, 31,963.98 and 12,551.83 is: 17,321.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,162.29 : 31,963.98 = 12,551.83 : x
  2. Step 2: Convert to fraction form
    23,162.29/31,963.98 = 12,551.83/x
  3. Step 3: Cross multiply
    23,162.29x = 31,963.98 × 12,551.83
  4. Step 4: Simplify right side
    23,162.29x = 401,206,410.24
  5. Step 5: Solve for x
    x = 401,206,410.24/23,162.29
  6. Step 6: Final answer
    x = 17,321.54

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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.