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Finding the Fourth Proportional to 20,613.42, 30,922.16 and 5,822.45

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Solution

The fourth proportional to 20,613.42, 30,922.16 and 5,822.45 is: 8,734.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,613.42 : 30,922.16 = 5,822.45 : x
  2. Step 2: Convert to fraction form
    20,613.42/30,922.16 = 5,822.45/x
  3. Step 3: Cross multiply
    20,613.42x = 30,922.16 × 5,822.45
  4. Step 4: Simplify right side
    20,613.42x = 180,042,662.73
  5. Step 5: Solve for x
    x = 180,042,662.73/20,613.42
  6. Step 6: Final answer
    x = 8,734.25

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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.