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Finding the Fourth Proportional to 12,448.70, 18,673.06 and 3,682.94

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Solution

The fourth proportional to 12,448.70, 18,673.06 and 3,682.94 is: 5,524.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,448.70 : 18,673.06 = 3,682.94 : x
  2. Step 2: Convert to fraction form
    12,448.70/18,673.06 = 3,682.94/x
  3. Step 3: Cross multiply
    12,448.70x = 18,673.06 × 3,682.94
  4. Step 4: Simplify right side
    12,448.70x = 68,771,759.60
  5. Step 5: Solve for x
    x = 68,771,759.60/12,448.70
  6. Step 6: Final answer
    x = 5,524.41

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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.