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Finding the Fourth Proportional to 11,832.90, 16,331.67 and 8,657.70

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Solution

The fourth proportional to 11,832.90, 16,331.67 and 8,657.70 is: 11,949.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,832.90 : 16,331.67 = 8,657.70 : x
  2. Step 2: Convert to fraction form
    11,832.90/16,331.67 = 8,657.70/x
  3. Step 3: Cross multiply
    11,832.90x = 16,331.67 × 8,657.70
  4. Step 4: Simplify right side
    11,832.90x = 141,394,699.36
  5. Step 5: Solve for x
    x = 141,394,699.36/11,832.90
  6. Step 6: Final answer
    x = 11,949.29

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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.