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Finding the Fourth Proportional to 16,533.90, 22,817.05 and 8,980.23

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Solution

The fourth proportional to 16,533.90, 22,817.05 and 8,980.23 is: 12,392.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,533.90 : 22,817.05 = 8,980.23 : x
  2. Step 2: Convert to fraction form
    16,533.90/22,817.05 = 8,980.23/x
  3. Step 3: Cross multiply
    16,533.90x = 22,817.05 × 8,980.23
  4. Step 4: Simplify right side
    16,533.90x = 204,902,413.96
  5. Step 5: Solve for x
    x = 204,902,413.96/16,533.90
  6. Step 6: Final answer
    x = 12,392.87

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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.