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Finding the Fourth Proportional to 18,312.96, 27,450.24 and 9,538.56

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Solution

The fourth proportional to 18,312.96, 27,450.24 and 9,538.56 is: 14,297.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,312.96 : 27,450.24 = 9,538.56 : x
  2. Step 2: Convert to fraction form
    18,312.96/27,450.24 = 9,538.56/x
  3. Step 3: Cross multiply
    18,312.96x = 27,450.24 × 9,538.56
  4. Step 4: Simplify right side
    18,312.96x = 261,835,761.25
  5. Step 5: Solve for x
    x = 261,835,761.25/18,312.96
  6. Step 6: Final answer
    x = 14,297.84

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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.