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Finding the Fourth Proportional to 12,361.36, 18,506.40 and 8,205.52

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Solution

The fourth proportional to 12,361.36, 18,506.40 and 8,205.52 is: 12,284.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,361.36 : 18,506.40 = 8,205.52 : x
  2. Step 2: Convert to fraction form
    12,361.36/18,506.40 = 8,205.52/x
  3. Step 3: Cross multiply
    12,361.36x = 18,506.40 × 8,205.52
  4. Step 4: Simplify right side
    12,361.36x = 151,854,635.33
  5. Step 5: Solve for x
    x = 151,854,635.33/12,361.36
  6. Step 6: Final answer
    x = 12,284.62

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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.