To find the cost of 19 bottles of orange juice, we first need to determine the cost of one bottle.
Jamal buys 10 bottles for a total of $9.20, so the cost per bottle is calculated as follows:
\[ \text{Cost per bottle} = \frac{\text{Total cost}}{\text{Number of bottles}} = \frac{9.20}{10} = 0.92 \]
The cost of one bottle of orange juice is $0.92.
Now, to find the cost of 19 bottles, we multiply the cost per bottle by 19:
\[ \text{Cost of 19 bottles} = \text{Cost per bottle} \times 19 = 0.92 \times 19 \]
Calculating \(0.92 \times 19\):
\[ 0.92 \times 19 = 17.48 \]
Thus, the cost of 19 bottles of orange juice is $17.48.