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Finding the Fourth Proportional to 19,825.44, 29,738.16 and 5,974.44

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Solution

The fourth proportional to 19,825.44, 29,738.16 and 5,974.44 is: 8,961.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,825.44 : 29,738.16 = 5,974.44 : x
  2. Step 2: Convert to fraction form
    19,825.44/29,738.16 = 5,974.44/x
  3. Step 3: Cross multiply
    19,825.44x = 29,738.16 × 5,974.44
  4. Step 4: Simplify right side
    19,825.44x = 177,668,852.63
  5. Step 5: Solve for x
    x = 177,668,852.63/19,825.44
  6. Step 6: Final answer
    x = 8,961.66

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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.