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Finding the Fourth Proportional to 36,284.56, 54,413.84 and 12,906.34

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Solution

The fourth proportional to 36,284.56, 54,413.84 and 12,906.34 is: 19,354.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,284.56 : 54,413.84 = 12,906.34 : x
  2. Step 2: Convert to fraction form
    36,284.56/54,413.84 = 12,906.34/x
  3. Step 3: Cross multiply
    36,284.56x = 54,413.84 × 12,906.34
  4. Step 4: Simplify right side
    36,284.56x = 702,283,519.75
  5. Step 5: Solve for x
    x = 702,283,519.75/36,284.56
  6. Step 6: Final answer
    x = 19,354.89

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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.