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Finding the Fourth Proportional to 27,622.89, 41,433.93 and 6,846.39

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Solution

The fourth proportional to 27,622.89, 41,433.93 and 6,846.39 is: 10,269.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,622.89 : 41,433.93 = 6,846.39 : x
  2. Step 2: Convert to fraction form
    27,622.89/41,433.93 = 6,846.39/x
  3. Step 3: Cross multiply
    27,622.89x = 41,433.93 × 6,846.39
  4. Step 4: Simplify right side
    27,622.89x = 283,672,844.01
  5. Step 5: Solve for x
    x = 283,672,844.01/27,622.89
  6. Step 6: Final answer
    x = 10,269.48

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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.