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Finding the Fourth Proportional to 27,211.50, 40,817.26 and 10,795.50

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Solution

The fourth proportional to 27,211.50, 40,817.26 and 10,795.50 is: 16,193.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,211.50 : 40,817.26 = 10,795.50 : x
  2. Step 2: Convert to fraction form
    27,211.50/40,817.26 = 10,795.50/x
  3. Step 3: Cross multiply
    27,211.50x = 40,817.26 × 10,795.50
  4. Step 4: Simplify right side
    27,211.50x = 440,642,730.33
  5. Step 5: Solve for x
    x = 440,642,730.33/27,211.50
  6. Step 6: Final answer
    x = 16,193.25

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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.