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Finding the Fourth Proportional to 27,818.64, 41,727.96 and 8,097.37

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Solution

The fourth proportional to 27,818.64, 41,727.96 and 8,097.37 is: 12,146.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,818.64 : 41,727.96 = 8,097.37 : x
  2. Step 2: Convert to fraction form
    27,818.64/41,727.96 = 8,097.37/x
  3. Step 3: Cross multiply
    27,818.64x = 41,727.96 × 8,097.37
  4. Step 4: Simplify right side
    27,818.64x = 337,886,627.15
  5. Step 5: Solve for x
    x = 337,886,627.15/27,818.64
  6. Step 6: Final answer
    x = 12,146.05

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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.