mattyvr, welcome to FT.
Firstly you need to tell us where you're flying from? And there are only 2 types of fares now on EK. A Flex fare or a Saver fare.
The North America (East) YYZ - Far East (HKG) Flex fare will earn you 9500 tier miles (one-way). According to your tier mile balance, you'll only then be 250 tier miles short, which you should be able to appeal to Skywards to bump you to Silver.
The other option is to upgrade prior to departure to Business, but this will cost you a significant amount.
Are you not making a round trip? Because then you will earn 19,000 tier miles.
Provide some more detail and we can help...