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Finding the Fourth Proportional to 12,105.86, 18,170.33 and 5,869.26

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Solution

The fourth proportional to 12,105.86, 18,170.33 and 5,869.26 is: 8,809.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,105.86 : 18,170.33 = 5,869.26 : x
  2. Step 2: Convert to fraction form
    12,105.86/18,170.33 = 5,869.26/x
  3. Step 3: Cross multiply
    12,105.86x = 18,170.33 × 5,869.26
  4. Step 4: Simplify right side
    12,105.86x = 106,646,361.71
  5. Step 5: Solve for x
    x = 106,646,361.71/12,105.86
  6. Step 6: Final answer
    x = 8,809.49

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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.