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Finding the Fourth Proportional to 23,942.33, 35,918.11 and 8,146.72

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Solution

The fourth proportional to 23,942.33, 35,918.11 and 8,146.72 is: 12,221.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,942.33 : 35,918.11 = 8,146.72 : x
  2. Step 2: Convert to fraction form
    23,942.33/35,918.11 = 8,146.72/x
  3. Step 3: Cross multiply
    23,942.33x = 35,918.11 × 8,146.72
  4. Step 4: Simplify right side
    23,942.33x = 292,614,605.51
  5. Step 5: Solve for x
    x = 292,614,605.51/23,942.33
  6. Step 6: Final answer
    x = 12,221.65

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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.