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Finding the Fourth Proportional to 25,273.89, 37,916.37 and 7,745.09

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Solution

The fourth proportional to 25,273.89, 37,916.37 and 7,745.09 is: 11,619.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,273.89 : 37,916.37 = 7,745.09 : x
  2. Step 2: Convert to fraction form
    25,273.89/37,916.37 = 7,745.09/x
  3. Step 3: Cross multiply
    25,273.89x = 37,916.37 × 7,745.09
  4. Step 4: Simplify right side
    25,273.89x = 293,665,508.54
  5. Step 5: Solve for x
    x = 293,665,508.54/25,273.89
  6. Step 6: Final answer
    x = 11,619.32

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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.