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Finding the Fourth Proportional to 12,657.44, 18,990.42 and 7,121.60

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Solution

The fourth proportional to 12,657.44, 18,990.42 and 7,121.60 is: 10,684.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,657.44 : 18,990.42 = 7,121.60 : x
  2. Step 2: Convert to fraction form
    12,657.44/18,990.42 = 7,121.60/x
  3. Step 3: Cross multiply
    12,657.44x = 18,990.42 × 7,121.60
  4. Step 4: Simplify right side
    12,657.44x = 135,242,175.07
  5. Step 5: Solve for x
    x = 135,242,175.07/12,657.44
  6. Step 6: Final answer
    x = 10,684.80

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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.