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Finding the Fourth Proportional to 19,474.24, 29,214.24 and 8,942.08

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Solution

The fourth proportional to 19,474.24, 29,214.24 and 8,942.08 is: 13,414.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,474.24 : 29,214.24 = 8,942.08 : x
  2. Step 2: Convert to fraction form
    19,474.24/29,214.24 = 8,942.08/x
  3. Step 3: Cross multiply
    19,474.24x = 29,214.24 × 8,942.08
  4. Step 4: Simplify right side
    19,474.24x = 261,236,071.22
  5. Step 5: Solve for x
    x = 261,236,071.22/19,474.24
  6. Step 6: Final answer
    x = 13,414.44

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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.