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Finding the Fourth Proportional to 12,448.41, 18,675.78 and 3,683.31

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Solution

The fourth proportional to 12,448.41, 18,675.78 and 3,683.31 is: 5,525.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,448.41 : 18,675.78 = 3,683.31 : x
  2. Step 2: Convert to fraction form
    12,448.41/18,675.78 = 3,683.31/x
  3. Step 3: Cross multiply
    12,448.41x = 18,675.78 × 3,683.31
  4. Step 4: Simplify right side
    12,448.41x = 68,788,687.23
  5. Step 5: Solve for x
    x = 68,788,687.23/12,448.41
  6. Step 6: Final answer
    x = 5,525.90

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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.