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Finding the Fourth Proportional to 20,684.67, 28,546.40 and 12,617.60

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Solution

The fourth proportional to 20,684.67, 28,546.40 and 12,617.60 is: 17,413.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,684.67 : 28,546.40 = 12,617.60 : x
  2. Step 2: Convert to fraction form
    20,684.67/28,546.40 = 12,617.60/x
  3. Step 3: Cross multiply
    20,684.67x = 28,546.40 × 12,617.60
  4. Step 4: Simplify right side
    20,684.67x = 360,187,056.64
  5. Step 5: Solve for x
    x = 360,187,056.64/20,684.67
  6. Step 6: Final answer
    x = 17,413.24

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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.