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Finding the Fourth Proportional to 12,922.70, 17,819.30 and 11,229.14

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Solution

The fourth proportional to 12,922.70, 17,819.30 and 11,229.14 is: 15,484.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,922.70 : 17,819.30 = 11,229.14 : x
  2. Step 2: Convert to fraction form
    12,922.70/17,819.30 = 11,229.14/x
  3. Step 3: Cross multiply
    12,922.70x = 17,819.30 × 11,229.14
  4. Step 4: Simplify right side
    12,922.70x = 200,095,414.40
  5. Step 5: Solve for x
    x = 200,095,414.40/12,922.70
  6. Step 6: Final answer
    x = 15,484.03

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.