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Finding the Fourth Proportional to 27,464.71, 41,193.41 and 7,744.85

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Solution

The fourth proportional to 27,464.71, 41,193.41 and 7,744.85 is: 11,616.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,464.71 : 41,193.41 = 7,744.85 : x
  2. Step 2: Convert to fraction form
    27,464.71/41,193.41 = 7,744.85/x
  3. Step 3: Cross multiply
    27,464.71x = 41,193.41 × 7,744.85
  4. Step 4: Simplify right side
    27,464.71x = 319,036,781.44
  5. Step 5: Solve for x
    x = 319,036,781.44/27,464.71
  6. Step 6: Final answer
    x = 11,616.24

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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.