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Finding the Fourth Proportional to 27,823.84, 41,739.86 and 8,099.80

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Solution

The fourth proportional to 27,823.84, 41,739.86 and 8,099.80 is: 12,150.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,823.84 : 41,739.86 = 8,099.80 : x
  2. Step 2: Convert to fraction form
    27,823.84/41,739.86 = 8,099.80/x
  3. Step 3: Cross multiply
    27,823.84x = 41,739.86 × 8,099.80
  4. Step 4: Simplify right side
    27,823.84x = 338,084,518.03
  5. Step 5: Solve for x
    x = 338,084,518.03/27,823.84
  6. Step 6: Final answer
    x = 12,150.89

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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.