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Finding the Fourth Proportional to 23,773.96, 35,665.80 and 8,189.56

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Solution

The fourth proportional to 23,773.96, 35,665.80 and 8,189.56 is: 12,286.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,773.96 : 35,665.80 = 8,189.56 : x
  2. Step 2: Convert to fraction form
    23,773.96/35,665.80 = 8,189.56/x
  3. Step 3: Cross multiply
    23,773.96x = 35,665.80 × 8,189.56
  4. Step 4: Simplify right side
    23,773.96x = 292,087,209.05
  5. Step 5: Solve for x
    x = 292,087,209.05/23,773.96
  6. Step 6: Final answer
    x = 12,286.01

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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.