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Finding the Fourth Proportional to 27,859.37, 41,784.57 and 8,133.30

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Solution

The fourth proportional to 27,859.37, 41,784.57 and 8,133.30 is: 12,198.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,859.37 : 41,784.57 = 8,133.30 : x
  2. Step 2: Convert to fraction form
    27,859.37/41,784.57 = 8,133.30/x
  3. Step 3: Cross multiply
    27,859.37x = 41,784.57 × 8,133.30
  4. Step 4: Simplify right side
    27,859.37x = 339,846,443.18
  5. Step 5: Solve for x
    x = 339,846,443.18/27,859.37
  6. Step 6: Final answer
    x = 12,198.64

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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.