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Finding the Fourth Proportional to 27,625.66, 41,450.74 and 14,474.90

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Solution

The fourth proportional to 27,625.66, 41,450.74 and 14,474.90 is: 21,718.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,625.66 : 41,450.74 = 14,474.90 : x
  2. Step 2: Convert to fraction form
    27,625.66/41,450.74 = 14,474.90/x
  3. Step 3: Cross multiply
    27,625.66x = 41,450.74 × 14,474.90
  4. Step 4: Simplify right side
    27,625.66x = 599,995,383.87
  5. Step 5: Solve for x
    x = 599,995,383.87/27,625.66
  6. Step 6: Final answer
    x = 21,718.77

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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.