At an exorbitant price and At a high price

At a high price and at an exorbitant price are semantically related. In some cases you can use "At a high price" instead an adverb phrase "At an exorbitant price".

At an exorbitant price and at a high price are semantically related. You can use "At an exorbitant price" instead an adverb phrase "At a high price".