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Finding the Fourth Proportional to 27,634.62, 41,464.08 and 10,107.06

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Solution

The fourth proportional to 27,634.62, 41,464.08 and 10,107.06 is: 15,165.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,634.62 : 41,464.08 = 10,107.06 : x
  2. Step 2: Convert to fraction form
    27,634.62/41,464.08 = 10,107.06/x
  3. Step 3: Cross multiply
    27,634.62x = 41,464.08 × 10,107.06
  4. Step 4: Simplify right side
    27,634.62x = 419,079,944.40
  5. Step 5: Solve for x
    x = 419,079,944.40/27,634.62
  6. Step 6: Final answer
    x = 15,165.03

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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.