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Finding the Fourth Proportional to 20,588.64, 28,413.78 and 11,636.97

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Solution

The fourth proportional to 20,588.64, 28,413.78 and 11,636.97 is: 16,059.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,588.64 : 28,413.78 = 11,636.97 : x
  2. Step 2: Convert to fraction form
    20,588.64/28,413.78 = 11,636.97/x
  3. Step 3: Cross multiply
    20,588.64x = 28,413.78 × 11,636.97
  4. Step 4: Simplify right side
    20,588.64x = 330,650,305.45
  5. Step 5: Solve for x
    x = 330,650,305.45/20,588.64
  6. Step 6: Final answer
    x = 16,059.84

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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.