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Finding the Fourth Proportional to 18,782.56, 25,918.32 and 10,396.96

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Solution

The fourth proportional to 18,782.56, 25,918.32 and 10,396.96 is: 14,346.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,782.56 : 25,918.32 = 10,396.96 : x
  2. Step 2: Convert to fraction form
    18,782.56/25,918.32 = 10,396.96/x
  3. Step 3: Cross multiply
    18,782.56x = 25,918.32 × 10,396.96
  4. Step 4: Simplify right side
    18,782.56x = 269,471,736.31
  5. Step 5: Solve for x
    x = 269,471,736.31/18,782.56
  6. Step 6: Final answer
    x = 14,346.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.