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Finding the Fourth Proportional to 23,902.64, 32,986.44 and 13,147.97

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Solution

The fourth proportional to 23,902.64, 32,986.44 and 13,147.97 is: 18,144.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,902.64 : 32,986.44 = 13,147.97 : x
  2. Step 2: Convert to fraction form
    23,902.64/32,986.44 = 13,147.97/x
  3. Step 3: Cross multiply
    23,902.64x = 32,986.44 × 13,147.97
  4. Step 4: Simplify right side
    23,902.64x = 433,704,723.53
  5. Step 5: Solve for x
    x = 433,704,723.53/23,902.64
  6. Step 6: Final answer
    x = 18,144.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.