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Finding the Fourth Proportional to 23,942.66, 35,913.44 and 6,412.48

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Solution

The fourth proportional to 23,942.66, 35,913.44 and 6,412.48 is: 9,618.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,942.66 : 35,913.44 = 6,412.48 : x
  2. Step 2: Convert to fraction form
    23,942.66/35,913.44 = 6,412.48/x
  3. Step 3: Cross multiply
    23,942.66x = 35,913.44 × 6,412.48
  4. Step 4: Simplify right side
    23,942.66x = 230,294,141.98
  5. Step 5: Solve for x
    x = 230,294,141.98/23,942.66
  6. Step 6: Final answer
    x = 9,618.57

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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.