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Finding the Fourth Proportional to 19,516, 29,274 and 7,204

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Solution

The fourth proportional to 19,516, 29,274 and 7,204 is: 10,806

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,516 : 29,274 = 7,204 : x
  2. Step 2: Convert to fraction form
    19,516/29,274 = 7,204/x
  3. Step 3: Cross multiply
    19,516x = 29,274 × 7,204
  4. Step 4: Simplify right side
    19,516x = 210,889,896
  5. Step 5: Solve for x
    x = 210,889,896/19,516
  6. Step 6: Final answer
    x = 10,806

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