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Finding the Fourth Proportional to 20,451.42, 30,672.54 and 7,967.16

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Solution

The fourth proportional to 20,451.42, 30,672.54 and 7,967.16 is: 11,948.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,451.42 : 30,672.54 = 7,967.16 : x
  2. Step 2: Convert to fraction form
    20,451.42/30,672.54 = 7,967.16/x
  3. Step 3: Cross multiply
    20,451.42x = 30,672.54 × 7,967.16
  4. Step 4: Simplify right side
    20,451.42x = 244,373,033.79
  5. Step 5: Solve for x
    x = 244,373,033.79/20,451.42
  6. Step 6: Final answer
    x = 11,948.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.