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Finding the Fourth Proportional to 13,791.44, 19,033.11 and 7,823.49

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Solution

The fourth proportional to 13,791.44, 19,033.11 and 7,823.49 is: 10,796.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,791.44 : 19,033.11 = 7,823.49 : x
  2. Step 2: Convert to fraction form
    13,791.44/19,033.11 = 7,823.49/x
  3. Step 3: Cross multiply
    13,791.44x = 19,033.11 × 7,823.49
  4. Step 4: Simplify right side
    13,791.44x = 148,905,345.75
  5. Step 5: Solve for x
    x = 148,905,345.75/13,791.44
  6. Step 6: Final answer
    x = 10,796.94

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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.