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Finding the Fourth Proportional to 18,323.24, 27,489.12 and 7,793.84

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Solution

The fourth proportional to 18,323.24, 27,489.12 and 7,793.84 is: 11,692.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,323.24 : 27,489.12 = 7,793.84 : x
  2. Step 2: Convert to fraction form
    18,323.24/27,489.12 = 7,793.84/x
  3. Step 3: Cross multiply
    18,323.24x = 27,489.12 × 7,793.84
  4. Step 4: Simplify right side
    18,323.24x = 214,245,803.02
  5. Step 5: Solve for x
    x = 214,245,803.02/18,323.24
  6. Step 6: Final answer
    x = 11,692.57

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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.