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Finding the Fourth Proportional to 24,309.60, 36,469.56 and 7,674.44

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Solution

The fourth proportional to 24,309.60, 36,469.56 and 7,674.44 is: 11,513.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,309.60 : 36,469.56 = 7,674.44 : x
  2. Step 2: Convert to fraction form
    24,309.60/36,469.56 = 7,674.44/x
  3. Step 3: Cross multiply
    24,309.60x = 36,469.56 × 7,674.44
  4. Step 4: Simplify right side
    24,309.60x = 279,883,450.05
  5. Step 5: Solve for x
    x = 279,883,450.05/24,309.60
  6. Step 6: Final answer
    x = 11,513.29

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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.