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Finding the Fourth Proportional to 12,409.86, 18,616.84 and 4,090.37

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Solution

The fourth proportional to 12,409.86, 18,616.84 and 4,090.37 is: 6,136.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,409.86 : 18,616.84 = 4,090.37 : x
  2. Step 2: Convert to fraction form
    12,409.86/18,616.84 = 4,090.37/x
  3. Step 3: Cross multiply
    12,409.86x = 18,616.84 × 4,090.37
  4. Step 4: Simplify right side
    12,409.86x = 76,149,817.60
  5. Step 5: Solve for x
    x = 76,149,817.60/12,409.86
  6. Step 6: Final answer
    x = 6,136.24

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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.