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Finding the Fourth Proportional to 26,096.54, 36,013 and 14,611.48

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Solution

The fourth proportional to 26,096.54, 36,013 and 14,611.48 is: 20,163.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,096.54 : 36,013 = 14,611.48 : x
  2. Step 2: Convert to fraction form
    26,096.54/36,013 = 14,611.48/x
  3. Step 3: Cross multiply
    26,096.54x = 36,013 × 14,611.48
  4. Step 4: Simplify right side
    26,096.54x = 526,203,229.24
  5. Step 5: Solve for x
    x = 526,203,229.24/26,096.54
  6. Step 6: Final answer
    x = 20,163.72

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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.