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Finding the Fourth Proportional to 27,657.31, 41,481.37 and 11,864.88

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Solution

The fourth proportional to 27,657.31, 41,481.37 and 11,864.88 is: 17,795.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,657.31 : 41,481.37 = 11,864.88 : x
  2. Step 2: Convert to fraction form
    27,657.31/41,481.37 = 11,864.88/x
  3. Step 3: Cross multiply
    27,657.31x = 41,481.37 × 11,864.88
  4. Step 4: Simplify right side
    27,657.31x = 492,171,477.29
  5. Step 5: Solve for x
    x = 492,171,477.29/27,657.31
  6. Step 6: Final answer
    x = 17,795.35

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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.