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Finding the Fourth Proportional to 13,793.44, 19,029.36 and 8,413.12

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Solution

The fourth proportional to 13,793.44, 19,029.36 and 8,413.12 is: 11,606.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,793.44 : 19,029.36 = 8,413.12 : x
  2. Step 2: Convert to fraction form
    13,793.44/19,029.36 = 8,413.12/x
  3. Step 3: Cross multiply
    13,793.44x = 19,029.36 × 8,413.12
  4. Step 4: Simplify right side
    13,793.44x = 160,096,289.20
  5. Step 5: Solve for x
    x = 160,096,289.20/13,793.44
  6. Step 6: Final answer
    x = 11,606.70

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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.