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Finding the Fourth Proportional to 27,105.83, 40,660.80 and 8,387.76

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Solution

The fourth proportional to 27,105.83, 40,660.80 and 8,387.76 is: 12,582.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,105.83 : 40,660.80 = 8,387.76 : x
  2. Step 2: Convert to fraction form
    27,105.83/40,660.80 = 8,387.76/x
  3. Step 3: Cross multiply
    27,105.83x = 40,660.80 × 8,387.76
  4. Step 4: Simplify right side
    27,105.83x = 341,052,878.73
  5. Step 5: Solve for x
    x = 341,052,878.73/27,105.83
  6. Step 6: Final answer
    x = 12,582.27

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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.