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Finding the Fourth Proportional to 23,113.89, 31,896.72 and 13,043.43

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Solution

The fourth proportional to 23,113.89, 31,896.72 and 13,043.43 is: 17,999.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,113.89 : 31,896.72 = 13,043.43 : x
  2. Step 2: Convert to fraction form
    23,113.89/31,896.72 = 13,043.43/x
  3. Step 3: Cross multiply
    23,113.89x = 31,896.72 × 13,043.43
  4. Step 4: Simplify right side
    23,113.89x = 416,042,634.55
  5. Step 5: Solve for x
    x = 416,042,634.55/23,113.89
  6. Step 6: Final answer
    x = 17,999.68

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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.