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Finding the Fourth Proportional to 19,633.49, 29,450.10 and 7,946.54

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Solution

The fourth proportional to 19,633.49, 29,450.10 and 7,946.54 is: 11,919.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,633.49 : 29,450.10 = 7,946.54 : x
  2. Step 2: Convert to fraction form
    19,633.49/29,450.10 = 7,946.54/x
  3. Step 3: Cross multiply
    19,633.49x = 29,450.10 × 7,946.54
  4. Step 4: Simplify right side
    19,633.49x = 234,026,481.21
  5. Step 5: Solve for x
    x = 234,026,481.21/19,633.49
  6. Step 6: Final answer
    x = 11,919.76

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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.