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Finding the Fourth Proportional to 24,757.25, 37,140.74 and 10,906.25

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Solution

The fourth proportional to 24,757.25, 37,140.74 and 10,906.25 is: 16,361.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,757.25 : 37,140.74 = 10,906.25 : x
  2. Step 2: Convert to fraction form
    24,757.25/37,140.74 = 10,906.25/x
  3. Step 3: Cross multiply
    24,757.25x = 37,140.74 × 10,906.25
  4. Step 4: Simplify right side
    24,757.25x = 405,066,141.09
  5. Step 5: Solve for x
    x = 405,066,141.09/24,757.25
  6. Step 6: Final answer
    x = 16,361.52

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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.