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Finding the Fourth Proportional to 19,825.36, 29,743 and 13,993.36

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Solution

The fourth proportional to 19,825.36, 29,743 and 13,993.36 is: 20,993.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,825.36 : 29,743 = 13,993.36 : x
  2. Step 2: Convert to fraction form
    19,825.36/29,743 = 13,993.36/x
  3. Step 3: Cross multiply
    19,825.36x = 29,743 × 13,993.36
  4. Step 4: Simplify right side
    19,825.36x = 416,204,506.48
  5. Step 5: Solve for x
    x = 416,204,506.48/19,825.36
  6. Step 6: Final answer
    x = 20,993.54

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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.