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Finding the Fourth Proportional to 18,683.31, 25,768.38 and 11,969.55

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Solution

The fourth proportional to 18,683.31, 25,768.38 and 11,969.55 is: 16,508.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,683.31 : 25,768.38 = 11,969.55 : x
  2. Step 2: Convert to fraction form
    18,683.31/25,768.38 = 11,969.55/x
  3. Step 3: Cross multiply
    18,683.31x = 25,768.38 × 11,969.55
  4. Step 4: Simplify right side
    18,683.31x = 308,435,917.40
  5. Step 5: Solve for x
    x = 308,435,917.40/18,683.31
  6. Step 6: Final answer
    x = 16,508.64

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Why These Related Problems?

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