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Finding the Fourth Proportional to 38,013.75, 52,458.96 and 20,786.16

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Solution

The fourth proportional to 38,013.75, 52,458.96 and 20,786.16 is: 28,684.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,013.75 : 52,458.96 = 20,786.16 : x
  2. Step 2: Convert to fraction form
    38,013.75/52,458.96 = 20,786.16/x
  3. Step 3: Cross multiply
    38,013.75x = 52,458.96 × 20,786.16
  4. Step 4: Simplify right side
    38,013.75x = 1,090,420,413.94
  5. Step 5: Solve for x
    x = 1,090,420,413.94/38,013.75
  6. Step 6: Final answer
    x = 28,684.89

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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.