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Finding the Fourth Proportional to 16,583.23, 22,883.70 and 9,413.29

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Solution

The fourth proportional to 16,583.23, 22,883.70 and 9,413.29 is: 12,989.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,583.23 : 22,883.70 = 9,413.29 : x
  2. Step 2: Convert to fraction form
    16,583.23/22,883.70 = 9,413.29/x
  3. Step 3: Cross multiply
    16,583.23x = 22,883.70 × 9,413.29
  4. Step 4: Simplify right side
    16,583.23x = 215,410,904.37
  5. Step 5: Solve for x
    x = 215,410,904.37/16,583.23
  6. Step 6: Final answer
    x = 12,989.68

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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.