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Finding the Fourth Proportional to 27,924.54, 41,892.68 and 8,201.44

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Solution

The fourth proportional to 27,924.54, 41,892.68 and 8,201.44 is: 12,303.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,924.54 : 41,892.68 = 8,201.44 : x
  2. Step 2: Convert to fraction form
    27,924.54/41,892.68 = 8,201.44/x
  3. Step 3: Cross multiply
    27,924.54x = 41,892.68 × 8,201.44
  4. Step 4: Simplify right side
    27,924.54x = 343,580,301.46
  5. Step 5: Solve for x
    x = 343,580,301.46/27,924.54
  6. Step 6: Final answer
    x = 12,303.88

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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.