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Finding the Fourth Proportional to 19,029.24, 28,524.24 and 7,942.38

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Solution

The fourth proportional to 19,029.24, 28,524.24 and 7,942.38 is: 11,905.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,029.24 : 28,524.24 = 7,942.38 : x
  2. Step 2: Convert to fraction form
    19,029.24/28,524.24 = 7,942.38/x
  3. Step 3: Cross multiply
    19,029.24x = 28,524.24 × 7,942.38
  4. Step 4: Simplify right side
    19,029.24x = 226,550,353.29
  5. Step 5: Solve for x
    x = 226,550,353.29/19,029.24
  6. Step 6: Final answer
    x = 11,905.38

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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.