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Finding the Fourth Proportional to 20,585.90, 28,413.97 and 14,213.54

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Solution

The fourth proportional to 20,585.90, 28,413.97 and 14,213.54 is: 19,618.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,585.90 : 28,413.97 = 14,213.54 : x
  2. Step 2: Convert to fraction form
    20,585.90/28,413.97 = 14,213.54/x
  3. Step 3: Cross multiply
    20,585.90x = 28,413.97 × 14,213.54
  4. Step 4: Simplify right side
    20,585.90x = 403,863,099.15
  5. Step 5: Solve for x
    x = 403,863,099.15/20,585.90
  6. Step 6: Final answer
    x = 19,618.43

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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.