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Finding the Fourth Proportional to 12,247.54, 18,361.02 and 5,678.44

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Solution

The fourth proportional to 12,247.54, 18,361.02 and 5,678.44 is: 8,512.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,247.54 : 18,361.02 = 5,678.44 : x
  2. Step 2: Convert to fraction form
    12,247.54/18,361.02 = 5,678.44/x
  3. Step 3: Cross multiply
    12,247.54x = 18,361.02 × 5,678.44
  4. Step 4: Simplify right side
    12,247.54x = 104,261,950.41
  5. Step 5: Solve for x
    x = 104,261,950.41/12,247.54
  6. Step 6: Final answer
    x = 8,512.89

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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.