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Finding the Fourth Proportional to 27,997.60, 41,996.40 and 14,000.80

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Solution

The fourth proportional to 27,997.60, 41,996.40 and 14,000.80 is: 21,001.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,997.60 : 41,996.40 = 14,000.80 : x
  2. Step 2: Convert to fraction form
    27,997.60/41,996.40 = 14,000.80/x
  3. Step 3: Cross multiply
    27,997.60x = 41,996.40 × 14,000.80
  4. Step 4: Simplify right side
    27,997.60x = 587,983,197.12
  5. Step 5: Solve for x
    x = 587,983,197.12/27,997.60
  6. Step 6: Final answer
    x = 21,001.20

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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.