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Finding the Fourth Proportional to 38,420.80, 57,639.30 and 12,128.20

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Solution

The fourth proportional to 38,420.80, 57,639.30 and 12,128.20 is: 18,194.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,420.80 : 57,639.30 = 12,128.20 : x
  2. Step 2: Convert to fraction form
    38,420.80/57,639.30 = 12,128.20/x
  3. Step 3: Cross multiply
    38,420.80x = 57,639.30 × 12,128.20
  4. Step 4: Simplify right side
    38,420.80x = 699,060,958.26
  5. Step 5: Solve for x
    x = 699,060,958.26/38,420.80
  6. Step 6: Final answer
    x = 18,194.86

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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.