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Finding the Fourth Proportional to 18,469.24, 27,707.51 and 6,782.56

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Solution

The fourth proportional to 18,469.24, 27,707.51 and 6,782.56 is: 10,175.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,469.24 : 27,707.51 = 6,782.56 : x
  2. Step 2: Convert to fraction form
    18,469.24/27,707.51 = 6,782.56/x
  3. Step 3: Cross multiply
    18,469.24x = 27,707.51 × 6,782.56
  4. Step 4: Simplify right side
    18,469.24x = 187,927,676.58
  5. Step 5: Solve for x
    x = 187,927,676.58/18,469.24
  6. Step 6: Final answer
    x = 10,175.17

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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.