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Finding the Fourth Proportional to 13,793.49, 20,678.52 and 6,294.36

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Solution

The fourth proportional to 13,793.49, 20,678.52 and 6,294.36 is: 9,436.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,793.49 : 20,678.52 = 6,294.36 : x
  2. Step 2: Convert to fraction form
    13,793.49/20,678.52 = 6,294.36/x
  3. Step 3: Cross multiply
    13,793.49x = 20,678.52 × 6,294.36
  4. Step 4: Simplify right side
    13,793.49x = 130,158,049.15
  5. Step 5: Solve for x
    x = 130,158,049.15/13,793.49
  6. Step 6: Final answer
    x = 9,436.19

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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.