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Finding the Fourth Proportional to 20,692.26, 31,047.50 and 10,838.60

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Solution

The fourth proportional to 20,692.26, 31,047.50 and 10,838.60 is: 16,262.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,692.26 : 31,047.50 = 10,838.60 : x
  2. Step 2: Convert to fraction form
    20,692.26/31,047.50 = 10,838.60/x
  3. Step 3: Cross multiply
    20,692.26x = 31,047.50 × 10,838.60
  4. Step 4: Simplify right side
    20,692.26x = 336,511,433.50
  5. Step 5: Solve for x
    x = 336,511,433.50/20,692.26
  6. Step 6: Final answer
    x = 16,262.67

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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.