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Finding the Fourth Proportional to 12,409.86, 18,614.62 and 3,644.46

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Solution

The fourth proportional to 12,409.86, 18,614.62 and 3,644.46 is: 5,466.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,409.86 : 18,614.62 = 3,644.46 : x
  2. Step 2: Convert to fraction form
    12,409.86/18,614.62 = 3,644.46/x
  3. Step 3: Cross multiply
    12,409.86x = 18,614.62 × 3,644.46
  4. Step 4: Simplify right side
    12,409.86x = 67,840,238.01
  5. Step 5: Solve for x
    x = 67,840,238.01/12,409.86
  6. Step 6: Final answer
    x = 5,466.64

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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.