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Finding the Fourth Proportional to 13,630.96, 20,413.63 and 9,235.09

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Solution

The fourth proportional to 13,630.96, 20,413.63 and 9,235.09 is: 13,830.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,630.96 : 20,413.63 = 9,235.09 : x
  2. Step 2: Convert to fraction form
    13,630.96/20,413.63 = 9,235.09/x
  3. Step 3: Cross multiply
    13,630.96x = 20,413.63 × 9,235.09
  4. Step 4: Simplify right side
    13,630.96x = 188,521,747.34
  5. Step 5: Solve for x
    x = 188,521,747.34/13,630.96
  6. Step 6: Final answer
    x = 13,830.41

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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.