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Finding the Fourth Proportional to 11,657.90, 17,467.40 and 8,188.94

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Solution

The fourth proportional to 11,657.90, 17,467.40 and 8,188.94 is: 12,269.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,657.90 : 17,467.40 = 8,188.94 : x
  2. Step 2: Convert to fraction form
    11,657.90/17,467.40 = 8,188.94/x
  3. Step 3: Cross multiply
    11,657.90x = 17,467.40 × 8,188.94
  4. Step 4: Simplify right side
    11,657.90x = 143,039,490.56
  5. Step 5: Solve for x
    x = 143,039,490.56/11,657.90
  6. Step 6: Final answer
    x = 12,269.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.