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Finding the Fourth Proportional to 27,648.56, 41,472.87 and 6,872.06

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Solution

The fourth proportional to 27,648.56, 41,472.87 and 6,872.06 is: 10,308.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,648.56 : 41,472.87 = 6,872.06 : x
  2. Step 2: Convert to fraction form
    27,648.56/41,472.87 = 6,872.06/x
  3. Step 3: Cross multiply
    27,648.56x = 41,472.87 × 6,872.06
  4. Step 4: Simplify right side
    27,648.56x = 285,003,809.29
  5. Step 5: Solve for x
    x = 285,003,809.29/27,648.56
  6. Step 6: Final answer
    x = 10,308.09

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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.