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Finding the Fourth Proportional to 22,507.70, 33,771.44 and 11,975.24

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Solution

The fourth proportional to 22,507.70, 33,771.44 and 11,975.24 is: 17,968.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,507.70 : 33,771.44 = 11,975.24 : x
  2. Step 2: Convert to fraction form
    22,507.70/33,771.44 = 11,975.24/x
  3. Step 3: Cross multiply
    22,507.70x = 33,771.44 × 11,975.24
  4. Step 4: Simplify right side
    22,507.70x = 404,420,870.41
  5. Step 5: Solve for x
    x = 404,420,870.41/22,507.70
  6. Step 6: Final answer
    x = 17,968.12

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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.