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Finding the Fourth Proportional to 27,728, 41,583.26 and 9,003.72

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Solution

The fourth proportional to 27,728, 41,583.26 and 9,003.72 is: 13,502.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,728 : 41,583.26 = 9,003.72 : x
  2. Step 2: Convert to fraction form
    27,728/41,583.26 = 9,003.72/x
  3. Step 3: Cross multiply
    27,728x = 41,583.26 × 9,003.72
  4. Step 4: Simplify right side
    27,728x = 374,404,029.73
  5. Step 5: Solve for x
    x = 374,404,029.73/27,728
  6. Step 6: Final answer
    x = 13,502.74

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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.