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Finding the Fourth Proportional to 26,706.50, 40,056.25 and 6,986.57

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Solution

The fourth proportional to 26,706.50, 40,056.25 and 6,986.57 is: 10,478.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,706.50 : 40,056.25 = 6,986.57 : x
  2. Step 2: Convert to fraction form
    26,706.50/40,056.25 = 6,986.57/x
  3. Step 3: Cross multiply
    26,706.50x = 40,056.25 × 6,986.57
  4. Step 4: Simplify right side
    26,706.50x = 279,855,794.56
  5. Step 5: Solve for x
    x = 279,855,794.56/26,706.50
  6. Step 6: Final answer
    x = 10,478.94

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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.