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Finding the Fourth Proportional to 25,226.44, 37,838.25 and 7,694.89

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Solution

The fourth proportional to 25,226.44, 37,838.25 and 7,694.89 is: 11,541.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,226.44 : 37,838.25 = 7,694.89 : x
  2. Step 2: Convert to fraction form
    25,226.44/37,838.25 = 7,694.89/x
  3. Step 3: Cross multiply
    25,226.44x = 37,838.25 × 7,694.89
  4. Step 4: Simplify right side
    25,226.44x = 291,161,171.54
  5. Step 5: Solve for x
    x = 291,161,171.54/25,226.44
  6. Step 6: Final answer
    x = 11,541.90

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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.