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Finding the Fourth Proportional to 18,148, 27,222.02 and 7,204

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Solution

The fourth proportional to 18,148, 27,222.02 and 7,204 is: 10,806.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,148 : 27,222.02 = 7,204 : x
  2. Step 2: Convert to fraction form
    18,148/27,222.02 = 7,204/x
  3. Step 3: Cross multiply
    18,148x = 27,222.02 × 7,204
  4. Step 4: Simplify right side
    18,148x = 196,107,432.08
  5. Step 5: Solve for x
    x = 196,107,432.08/18,148
  6. Step 6: Final answer
    x = 10,806.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.