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Finding the Fourth Proportional to 20,820.39, 28,727.80 and 11,866.16

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Solution

The fourth proportional to 20,820.39, 28,727.80 and 11,866.16 is: 16,372.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,820.39 : 28,727.80 = 11,866.16 : x
  2. Step 2: Convert to fraction form
    20,820.39/28,727.80 = 11,866.16/x
  3. Step 3: Cross multiply
    20,820.39x = 28,727.80 × 11,866.16
  4. Step 4: Simplify right side
    20,820.39x = 340,888,671.25
  5. Step 5: Solve for x
    x = 340,888,671.25/20,820.39
  6. Step 6: Final answer
    x = 16,372.83

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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.