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Finding the Fourth Proportional to 21,684.42, 32,464.67 and 20,306.61

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Solution

The fourth proportional to 21,684.42, 32,464.67 and 20,306.61 is: 30,401.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,684.42 : 32,464.67 = 20,306.61 : x
  2. Step 2: Convert to fraction form
    21,684.42/32,464.67 = 20,306.61/x
  3. Step 3: Cross multiply
    21,684.42x = 32,464.67 × 20,306.61
  4. Step 4: Simplify right side
    21,684.42x = 659,247,290.94
  5. Step 5: Solve for x
    x = 659,247,290.94/21,684.42
  6. Step 6: Final answer
    x = 30,401.89

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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.