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Finding the Fourth Proportional to 14,384.23, 19,843.83 and 8,413.27

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Solution

The fourth proportional to 14,384.23, 19,843.83 and 8,413.27 is: 11,606.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,384.23 : 19,843.83 = 8,413.27 : x
  2. Step 2: Convert to fraction form
    14,384.23/19,843.83 = 8,413.27/x
  3. Step 3: Cross multiply
    14,384.23x = 19,843.83 × 8,413.27
  4. Step 4: Simplify right side
    14,384.23x = 166,951,499.62
  5. Step 5: Solve for x
    x = 166,951,499.62/14,384.23
  6. Step 6: Final answer
    x = 11,606.56

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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.