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Finding the Fourth Proportional to 27,171.84, 40,757.82 and 7,450.68

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Solution

The fourth proportional to 27,171.84, 40,757.82 and 7,450.68 is: 11,176.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,171.84 : 40,757.82 = 7,450.68 : x
  2. Step 2: Convert to fraction form
    27,171.84/40,757.82 = 7,450.68/x
  3. Step 3: Cross multiply
    27,171.84x = 40,757.82 × 7,450.68
  4. Step 4: Simplify right side
    27,171.84x = 303,673,474.32
  5. Step 5: Solve for x
    x = 303,673,474.32/27,171.84
  6. Step 6: Final answer
    x = 11,176.04

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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.