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Finding the Fourth Proportional to 27,215.50, 40,825.83 and 10,576.82

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Solution

The fourth proportional to 27,215.50, 40,825.83 and 10,576.82 is: 15,866.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,215.50 : 40,825.83 = 10,576.82 : x
  2. Step 2: Convert to fraction form
    27,215.50/40,825.83 = 10,576.82/x
  3. Step 3: Cross multiply
    27,215.50x = 40,825.83 × 10,576.82
  4. Step 4: Simplify right side
    27,215.50x = 431,807,224.69
  5. Step 5: Solve for x
    x = 431,807,224.69/27,215.50
  6. Step 6: Final answer
    x = 15,866.23

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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.