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Finding the Fourth Proportional to 16,589, 22,892.82 and 9,137

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Solution

The fourth proportional to 16,589, 22,892.82 and 9,137 is: 12,609.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,589 : 22,892.82 = 9,137 : x
  2. Step 2: Convert to fraction form
    16,589/22,892.82 = 9,137/x
  3. Step 3: Cross multiply
    16,589x = 22,892.82 × 9,137
  4. Step 4: Simplify right side
    16,589x = 209,171,696.34
  5. Step 5: Solve for x
    x = 209,171,696.34/16,589
  6. Step 6: Final answer
    x = 12,609.06

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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.