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Finding the Fourth Proportional to 27,743.46, 41,602.83 and 8,017.34

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Solution

The fourth proportional to 27,743.46, 41,602.83 and 8,017.34 is: 12,022.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,743.46 : 41,602.83 = 8,017.34 : x
  2. Step 2: Convert to fraction form
    27,743.46/41,602.83 = 8,017.34/x
  3. Step 3: Cross multiply
    27,743.46x = 41,602.83 × 8,017.34
  4. Step 4: Simplify right side
    27,743.46x = 333,543,825.06
  5. Step 5: Solve for x
    x = 333,543,825.06/27,743.46
  6. Step 6: Final answer
    x = 12,022.43

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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.