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Finding the Fourth Proportional to 23,795.02, 35,692.80 and 8,209

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Solution

The fourth proportional to 23,795.02, 35,692.80 and 8,209 is: 12,313.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,795.02 : 35,692.80 = 8,209 : x
  2. Step 2: Convert to fraction form
    23,795.02/35,692.80 = 8,209/x
  3. Step 3: Cross multiply
    23,795.02x = 35,692.80 × 8,209
  4. Step 4: Simplify right side
    23,795.02x = 293,002,195.20
  5. Step 5: Solve for x
    x = 293,002,195.20/23,795.02
  6. Step 6: Final answer
    x = 12,313.59

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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.