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Finding the Fourth Proportional to 23,942.42, 35,903.19 and 8,143.16

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Solution

The fourth proportional to 23,942.42, 35,903.19 and 8,143.16 is: 12,211.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,942.42 : 35,903.19 = 8,143.16 : x
  2. Step 2: Convert to fraction form
    23,942.42/35,903.19 = 8,143.16/x
  3. Step 3: Cross multiply
    23,942.42x = 35,903.19 × 8,143.16
  4. Step 4: Simplify right side
    23,942.42x = 292,365,420.68
  5. Step 5: Solve for x
    x = 292,365,420.68/23,942.42
  6. Step 6: Final answer
    x = 12,211.19

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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.