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Finding the Fourth Proportional to 27,698.82, 41,544.57 and 7,709.64

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Solution

The fourth proportional to 27,698.82, 41,544.57 and 7,709.64 is: 11,563.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,698.82 : 41,544.57 = 7,709.64 : x
  2. Step 2: Convert to fraction form
    27,698.82/41,544.57 = 7,709.64/x
  3. Step 3: Cross multiply
    27,698.82x = 41,544.57 × 7,709.64
  4. Step 4: Simplify right side
    27,698.82x = 320,293,678.65
  5. Step 5: Solve for x
    x = 320,293,678.65/27,698.82
  6. Step 6: Final answer
    x = 11,563.44

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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.