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Finding the Fourth Proportional to 36,209.20, 54,274.20 and 12,823.60

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Solution

The fourth proportional to 36,209.20, 54,274.20 and 12,823.60 is: 19,221.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,209.20 : 54,274.20 = 12,823.60 : x
  2. Step 2: Convert to fraction form
    36,209.20/54,274.20 = 12,823.60/x
  3. Step 3: Cross multiply
    36,209.20x = 54,274.20 × 12,823.60
  4. Step 4: Simplify right side
    36,209.20x = 695,990,631.12
  5. Step 5: Solve for x
    x = 695,990,631.12/36,209.20
  6. Step 6: Final answer
    x = 19,221.38

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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.