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Finding the Fourth Proportional to 26,164.50, 36,107 and 14,227.80

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Solution

The fourth proportional to 26,164.50, 36,107 and 14,227.80 is: 19,634.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,164.50 : 36,107 = 14,227.80 : x
  2. Step 2: Convert to fraction form
    26,164.50/36,107 = 14,227.80/x
  3. Step 3: Cross multiply
    26,164.50x = 36,107 × 14,227.80
  4. Step 4: Simplify right side
    26,164.50x = 513,723,174.60
  5. Step 5: Solve for x
    x = 513,723,174.60/26,164.50
  6. Step 6: Final answer
    x = 19,634.36

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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.