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Finding the Fourth Proportional to 12,447.33, 18,674.46 and 5,427.96

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Solution

The fourth proportional to 12,447.33, 18,674.46 and 5,427.96 is: 8,143.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,447.33 : 18,674.46 = 5,427.96 : x
  2. Step 2: Convert to fraction form
    12,447.33/18,674.46 = 5,427.96/x
  3. Step 3: Cross multiply
    12,447.33x = 18,674.46 × 5,427.96
  4. Step 4: Simplify right side
    12,447.33x = 101,364,226.42
  5. Step 5: Solve for x
    x = 101,364,226.42/12,447.33
  6. Step 6: Final answer
    x = 8,143.45

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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.