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Finding the Fourth Proportional to 27,409.26, 37,825.47 and 16,804.74

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Solution

The fourth proportional to 27,409.26, 37,825.47 and 16,804.74 is: 23,190.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,409.26 : 37,825.47 = 16,804.74 : x
  2. Step 2: Convert to fraction form
    27,409.26/37,825.47 = 16,804.74/x
  3. Step 3: Cross multiply
    27,409.26x = 37,825.47 × 16,804.74
  4. Step 4: Simplify right side
    27,409.26x = 635,647,188.73
  5. Step 5: Solve for x
    x = 635,647,188.73/27,409.26
  6. Step 6: Final answer
    x = 23,190.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.