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Finding the Fourth Proportional to 12,297.70, 18,410.10 and 7,364.80

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Solution

The fourth proportional to 12,297.70, 18,410.10 and 7,364.80 is: 11,025.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,297.70 : 18,410.10 = 7,364.80 : x
  2. Step 2: Convert to fraction form
    12,297.70/18,410.10 = 7,364.80/x
  3. Step 3: Cross multiply
    12,297.70x = 18,410.10 × 7,364.80
  4. Step 4: Simplify right side
    12,297.70x = 135,586,704.48
  5. Step 5: Solve for x
    x = 135,586,704.48/12,297.70
  6. Step 6: Final answer
    x = 11,025.37

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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.