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Finding the Fourth Proportional to 25,960.50, 38,940.75 and 8,431.56

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Solution

The fourth proportional to 25,960.50, 38,940.75 and 8,431.56 is: 12,647.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,960.50 : 38,940.75 = 8,431.56 : x
  2. Step 2: Convert to fraction form
    25,960.50/38,940.75 = 8,431.56/x
  3. Step 3: Cross multiply
    25,960.50x = 38,940.75 × 8,431.56
  4. Step 4: Simplify right side
    25,960.50x = 328,331,270.07
  5. Step 5: Solve for x
    x = 328,331,270.07/25,960.50
  6. Step 6: Final answer
    x = 12,647.34

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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.