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Finding the Fourth Proportional to 12,171.98, 18,258.09 and 3,851.84

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Solution

The fourth proportional to 12,171.98, 18,258.09 and 3,851.84 is: 5,777.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,171.98 : 18,258.09 = 3,851.84 : x
  2. Step 2: Convert to fraction form
    12,171.98/18,258.09 = 3,851.84/x
  3. Step 3: Cross multiply
    12,171.98x = 18,258.09 × 3,851.84
  4. Step 4: Simplify right side
    12,171.98x = 70,327,241.39
  5. Step 5: Solve for x
    x = 70,327,241.39/12,171.98
  6. Step 6: Final answer
    x = 5,777.80

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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.