Final answer:
When an Illinois homeowner dies without a will and without any traceable heirs, the real property in the estate will escheat to the state.
Step-by-step explanation:
When an Illinois homeowner dies without a will and without any traceable heirs, the real property in the estate will escheat to the state. Escheat is the legal process in which property reverts to the state when there are no rightful heirs or beneficiaries. This is based on the principle that the state is the ultimate owner or beneficiary of property when there is no one else to inherit it.