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Finding the Fourth Proportional to 26,782.50, 40,198.56 and 13,644.66

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Solution

The fourth proportional to 26,782.50, 40,198.56 and 13,644.66 is: 20,479.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,782.50 : 40,198.56 = 13,644.66 : x
  2. Step 2: Convert to fraction form
    26,782.50/40,198.56 = 13,644.66/x
  3. Step 3: Cross multiply
    26,782.50x = 40,198.56 × 13,644.66
  4. Step 4: Simplify right side
    26,782.50x = 548,495,683.69
  5. Step 5: Solve for x
    x = 548,495,683.69/26,782.50
  6. Step 6: Final answer
    x = 20,479.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.