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Finding the Fourth Proportional to 23,844.69, 35,769.06 and 6,314.27

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Solution

The fourth proportional to 23,844.69, 35,769.06 and 6,314.27 is: 9,471.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,844.69 : 35,769.06 = 6,314.27 : x
  2. Step 2: Convert to fraction form
    23,844.69/35,769.06 = 6,314.27/x
  3. Step 3: Cross multiply
    23,844.69x = 35,769.06 × 6,314.27
  4. Step 4: Simplify right side
    23,844.69x = 225,855,323.64
  5. Step 5: Solve for x
    x = 225,855,323.64/23,844.69
  6. Step 6: Final answer
    x = 9,471.93

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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.