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Finding the Fourth Proportional to 13,538.44, 18,683.94 and 8,233.48

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Solution

The fourth proportional to 13,538.44, 18,683.94 and 8,233.48 is: 11,362.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,538.44 : 18,683.94 = 8,233.48 : x
  2. Step 2: Convert to fraction form
    13,538.44/18,683.94 = 8,233.48/x
  3. Step 3: Cross multiply
    13,538.44x = 18,683.94 × 8,233.48
  4. Step 4: Simplify right side
    13,538.44x = 153,833,846.31
  5. Step 5: Solve for x
    x = 153,833,846.31/13,538.44
  6. Step 6: Final answer
    x = 11,362.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.