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Finding the Fourth Proportional to 25,930.20, 38,906.10 and 8,405.40

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Solution

The fourth proportional to 25,930.20, 38,906.10 and 8,405.40 is: 12,611.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,930.20 : 38,906.10 = 8,405.40 : x
  2. Step 2: Convert to fraction form
    25,930.20/38,906.10 = 8,405.40/x
  3. Step 3: Cross multiply
    25,930.20x = 38,906.10 × 8,405.40
  4. Step 4: Simplify right side
    25,930.20x = 327,021,332.94
  5. Step 5: Solve for x
    x = 327,021,332.94/25,930.20
  6. Step 6: Final answer
    x = 12,611.60

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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.