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Finding the Fourth Proportional to 25,984.46, 38,980.78 and 8,450.19

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Solution

The fourth proportional to 25,984.46, 38,980.78 and 8,450.19 is: 12,676.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,984.46 : 38,980.78 = 8,450.19 : x
  2. Step 2: Convert to fraction form
    25,984.46/38,980.78 = 8,450.19/x
  3. Step 3: Cross multiply
    25,984.46x = 38,980.78 × 8,450.19
  4. Step 4: Simplify right side
    25,984.46x = 329,394,976.22
  5. Step 5: Solve for x
    x = 329,394,976.22/25,984.46
  6. Step 6: Final answer
    x = 12,676.61

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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.