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Finding the Fourth Proportional to 23,743.40, 35,613.42 and 8,160.68

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Solution

The fourth proportional to 23,743.40, 35,613.42 and 8,160.68 is: 12,240.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,743.40 : 35,613.42 = 8,160.68 : x
  2. Step 2: Convert to fraction form
    23,743.40/35,613.42 = 8,160.68/x
  3. Step 3: Cross multiply
    23,743.40x = 35,613.42 × 8,160.68
  4. Step 4: Simplify right side
    23,743.40x = 290,629,724.33
  5. Step 5: Solve for x
    x = 290,629,724.33/23,743.40
  6. Step 6: Final answer
    x = 12,240.44

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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.