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Finding the Fourth Proportional to 26,596.26, 36,701.97 and 14,659.38

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Solution

The fourth proportional to 26,596.26, 36,701.97 and 14,659.38 is: 20,229.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,596.26 : 36,701.97 = 14,659.38 : x
  2. Step 2: Convert to fraction form
    26,596.26/36,701.97 = 14,659.38/x
  3. Step 3: Cross multiply
    26,596.26x = 36,701.97 × 14,659.38
  4. Step 4: Simplify right side
    26,596.26x = 538,028,124.98
  5. Step 5: Solve for x
    x = 538,028,124.98/26,596.26
  6. Step 6: Final answer
    x = 20,229.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.