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Finding the Fourth Proportional to 20,413.42, 30,625.80 and 11,654.48

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Solution

The fourth proportional to 20,413.42, 30,625.80 and 11,654.48 is: 17,484.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,413.42 : 30,625.80 = 11,654.48 : x
  2. Step 2: Convert to fraction form
    20,413.42/30,625.80 = 11,654.48/x
  3. Step 3: Cross multiply
    20,413.42x = 30,625.80 × 11,654.48
  4. Step 4: Simplify right side
    20,413.42x = 356,927,806.44
  5. Step 5: Solve for x
    x = 356,927,806.44/20,413.42
  6. Step 6: Final answer
    x = 17,484.96

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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.