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Finding the Fourth Proportional to 27,196.41, 40,795.07 and 7,474.85

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Solution

The fourth proportional to 27,196.41, 40,795.07 and 7,474.85 is: 11,212.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,196.41 : 40,795.07 = 7,474.85 : x
  2. Step 2: Convert to fraction form
    27,196.41/40,795.07 = 7,474.85/x
  3. Step 3: Cross multiply
    27,196.41x = 40,795.07 × 7,474.85
  4. Step 4: Simplify right side
    27,196.41x = 304,936,787.64
  5. Step 5: Solve for x
    x = 304,936,787.64/27,196.41
  6. Step 6: Final answer
    x = 11,212.39

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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.