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Finding the Fourth Proportional to 27,818.64, 41,728.04 and 8,097.68

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Solution

The fourth proportional to 27,818.64, 41,728.04 and 8,097.68 is: 12,146.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,818.64 : 41,728.04 = 8,097.68 : x
  2. Step 2: Convert to fraction form
    27,818.64/41,728.04 = 8,097.68/x
  3. Step 3: Cross multiply
    27,818.64x = 41,728.04 × 8,097.68
  4. Step 4: Simplify right side
    27,818.64x = 337,900,314.95
  5. Step 5: Solve for x
    x = 337,900,314.95/27,818.64
  6. Step 6: Final answer
    x = 12,146.54

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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.