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Finding the Fourth Proportional to 12,305, 18,427.34 and 11,121.64

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Solution

The fourth proportional to 12,305, 18,427.34 and 11,121.64 is: 16,655.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,305 : 18,427.34 = 11,121.64 : x
  2. Step 2: Convert to fraction form
    12,305/18,427.34 = 11,121.64/x
  3. Step 3: Cross multiply
    12,305x = 18,427.34 × 11,121.64
  4. Step 4: Simplify right side
    12,305x = 204,942,241.64
  5. Step 5: Solve for x
    x = 204,942,241.64/12,305
  6. Step 6: Final answer
    x = 16,655.20

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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.