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Finding the Fourth Proportional to 20,285.44, 30,413.54 and 9,186.41

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Solution

The fourth proportional to 20,285.44, 30,413.54 and 9,186.41 is: 13,773.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,285.44 : 30,413.54 = 9,186.41 : x
  2. Step 2: Convert to fraction form
    20,285.44/30,413.54 = 9,186.41/x
  3. Step 3: Cross multiply
    20,285.44x = 30,413.54 × 9,186.41
  4. Step 4: Simplify right side
    20,285.44x = 279,391,346.99
  5. Step 5: Solve for x
    x = 279,391,346.99/20,285.44
  6. Step 6: Final answer
    x = 13,773.00

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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.