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Finding the Fourth Proportional to 20,164.98, 27,821.25 and 12,204.66

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Solution

The fourth proportional to 20,164.98, 27,821.25 and 12,204.66 is: 16,838.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,164.98 : 27,821.25 = 12,204.66 : x
  2. Step 2: Convert to fraction form
    20,164.98/27,821.25 = 12,204.66/x
  3. Step 3: Cross multiply
    20,164.98x = 27,821.25 × 12,204.66
  4. Step 4: Simplify right side
    20,164.98x = 339,548,897.03
  5. Step 5: Solve for x
    x = 339,548,897.03/20,164.98
  6. Step 6: Final answer
    x = 16,838.54

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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.