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Finding the Fourth Proportional to 16,180, 24,268.38 and 11,806

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Solution

The fourth proportional to 16,180, 24,268.38 and 11,806 is: 17,707.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,180 : 24,268.38 = 11,806 : x
  2. Step 2: Convert to fraction form
    16,180/24,268.38 = 11,806/x
  3. Step 3: Cross multiply
    16,180x = 24,268.38 × 11,806
  4. Step 4: Simplify right side
    16,180x = 286,512,494.28
  5. Step 5: Solve for x
    x = 286,512,494.28/16,180
  6. Step 6: Final answer
    x = 17,707.82

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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.