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Finding the Fourth Proportional to 20,452.42, 30,674.04 and 7,968.16

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Solution

The fourth proportional to 20,452.42, 30,674.04 and 7,968.16 is: 11,950.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,452.42 : 30,674.04 = 7,968.16 : x
  2. Step 2: Convert to fraction form
    20,452.42/30,674.04 = 7,968.16/x
  3. Step 3: Cross multiply
    20,452.42x = 30,674.04 × 7,968.16
  4. Step 4: Simplify right side
    20,452.42x = 244,415,658.57
  5. Step 5: Solve for x
    x = 244,415,658.57/20,452.42
  6. Step 6: Final answer
    x = 11,950.45

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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.