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Finding the Fourth Proportional to 27,466.72, 41,198.16 and 7,744.48

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Solution

The fourth proportional to 27,466.72, 41,198.16 and 7,744.48 is: 11,616.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,466.72 : 41,198.16 = 7,744.48 : x
  2. Step 2: Convert to fraction form
    27,466.72/41,198.16 = 7,744.48/x
  3. Step 3: Cross multiply
    27,466.72x = 41,198.16 × 7,744.48
  4. Step 4: Simplify right side
    27,466.72x = 319,058,326.16
  5. Step 5: Solve for x
    x = 319,058,326.16/27,466.72
  6. Step 6: Final answer
    x = 11,616.18

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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.