To answer the question, I followed these steps:

<ul>
  <li><b>Identified the indicator code</b> for "Net migration" to know which data to look for.</li>
  <li><b>Found the country code for Andorra</b> and retrieved its net migration value for 2004, which was 4248.0.</li>
  <li><b>Collected the list of countries in Western Asia</b> to compare their net migration values against Andorra's.</li>
  <li><b>Checked each Western Asian country's net migration in 2004</b> and compared it to Andorra's value to see if it was higher.</li>
  <li><b>Counted how many countries had a higher net migration</b> than Andorra in that year.</li>
</ul>

In summary, I first established the baseline net migration value for Andorra in 2004, then examined each country in Western Asia to determine if their net migration was greater. After comparing all relevant countries, I totaled those with higher values.

The final answer is: <i>12 countries in Western Asia had a higher net migration than Andorra in 2004.</i>