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Finding the Fourth Proportional to 27,620.70, 41,431.01 and 6,844.20

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Solution

The fourth proportional to 27,620.70, 41,431.01 and 6,844.20 is: 10,266.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,620.70 : 41,431.01 = 6,844.20 : x
  2. Step 2: Convert to fraction form
    27,620.70/41,431.01 = 6,844.20/x
  3. Step 3: Cross multiply
    27,620.70x = 41,431.01 × 6,844.20
  4. Step 4: Simplify right side
    27,620.70x = 283,562,084.42
  5. Step 5: Solve for x
    x = 283,562,084.42/27,620.70
  6. Step 6: Final answer
    x = 10,266.29

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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.