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Finding the Fourth Proportional to 23,794.44, 35,692.23 and 7,999.98

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Solution

The fourth proportional to 23,794.44, 35,692.23 and 7,999.98 is: 12,000.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,794.44 : 35,692.23 = 7,999.98 : x
  2. Step 2: Convert to fraction form
    23,794.44/35,692.23 = 7,999.98/x
  3. Step 3: Cross multiply
    23,794.44x = 35,692.23 × 7,999.98
  4. Step 4: Simplify right side
    23,794.44x = 285,537,126.16
  5. Step 5: Solve for x
    x = 285,537,126.16/23,794.44
  6. Step 6: Final answer
    x = 12,000.16

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.