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Finding the Fourth Proportional to 27,826.70, 41,740.13 and 8,105.74

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Solution

The fourth proportional to 27,826.70, 41,740.13 and 8,105.74 is: 12,158.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,826.70 : 41,740.13 = 8,105.74 : x
  2. Step 2: Convert to fraction form
    27,826.70/41,740.13 = 8,105.74/x
  3. Step 3: Cross multiply
    27,826.70x = 41,740.13 × 8,105.74
  4. Step 4: Simplify right side
    27,826.70x = 338,334,641.35
  5. Step 5: Solve for x
    x = 338,334,641.35/27,826.70
  6. Step 6: Final answer
    x = 12,158.63

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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.