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Finding the Fourth Proportional to 12,447.60, 18,674.70 and 5,424.60

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Solution

The fourth proportional to 12,447.60, 18,674.70 and 5,424.60 is: 8,138.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,447.60 : 18,674.70 = 5,424.60 : x
  2. Step 2: Convert to fraction form
    12,447.60/18,674.70 = 5,424.60/x
  3. Step 3: Cross multiply
    12,447.60x = 18,674.70 × 5,424.60
  4. Step 4: Simplify right side
    12,447.60x = 101,302,777.62
  5. Step 5: Solve for x
    x = 101,302,777.62/12,447.60
  6. Step 6: Final answer
    x = 8,138.34

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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.