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Finding the Fourth Proportional to 27,971.20, 41,956.74 and 8,249.96

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Solution

The fourth proportional to 27,971.20, 41,956.74 and 8,249.96 is: 12,374.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,971.20 : 41,956.74 = 8,249.96 : x
  2. Step 2: Convert to fraction form
    27,971.20/41,956.74 = 8,249.96/x
  3. Step 3: Cross multiply
    27,971.20x = 41,956.74 × 8,249.96
  4. Step 4: Simplify right side
    27,971.20x = 346,141,426.73
  5. Step 5: Solve for x
    x = 346,141,426.73/27,971.20
  6. Step 6: Final answer
    x = 12,374.92

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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.