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Finding the Fourth Proportional to 27,107.37, 40,662.09 and 8,385.72

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Solution

The fourth proportional to 27,107.37, 40,662.09 and 8,385.72 is: 12,578.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,107.37 : 40,662.09 = 8,385.72 : x
  2. Step 2: Convert to fraction form
    27,107.37/40,662.09 = 8,385.72/x
  3. Step 3: Cross multiply
    27,107.37x = 40,662.09 × 8,385.72
  4. Step 4: Simplify right side
    27,107.37x = 340,980,901.35
  5. Step 5: Solve for x
    x = 340,980,901.35/27,107.37
  6. Step 6: Final answer
    x = 12,578.90

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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.