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Finding the Fourth Proportional to 36,205.20, 54,268.20 and 12,819.60

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Solution

The fourth proportional to 36,205.20, 54,268.20 and 12,819.60 is: 19,215.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,205.20 : 54,268.20 = 12,819.60 : x
  2. Step 2: Convert to fraction form
    36,205.20/54,268.20 = 12,819.60/x
  3. Step 3: Cross multiply
    36,205.20x = 54,268.20 × 12,819.60
  4. Step 4: Simplify right side
    36,205.20x = 695,696,616.72
  5. Step 5: Solve for x
    x = 695,696,616.72/36,205.20
  6. Step 6: Final answer
    x = 19,215.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.