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Finding the Fourth Proportional to 13,123.54, 19,679.38 and 3,761.42

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Solution

The fourth proportional to 13,123.54, 19,679.38 and 3,761.42 is: 5,640.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,123.54 : 19,679.38 = 3,761.42 : x
  2. Step 2: Convert to fraction form
    13,123.54/19,679.38 = 3,761.42/x
  3. Step 3: Cross multiply
    13,123.54x = 19,679.38 × 3,761.42
  4. Step 4: Simplify right side
    13,123.54x = 74,022,413.52
  5. Step 5: Solve for x
    x = 74,022,413.52/13,123.54
  6. Step 6: Final answer
    x = 5,640.43

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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.