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Finding the Fourth Proportional to 18,832.14, 28,257.39 and 7,742.16

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Solution

The fourth proportional to 18,832.14, 28,257.39 and 7,742.16 is: 11,617.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,832.14 : 28,257.39 = 7,742.16 : x
  2. Step 2: Convert to fraction form
    18,832.14/28,257.39 = 7,742.16/x
  3. Step 3: Cross multiply
    18,832.14x = 28,257.39 × 7,742.16
  4. Step 4: Simplify right side
    18,832.14x = 218,773,234.56
  5. Step 5: Solve for x
    x = 218,773,234.56/18,832.14
  6. Step 6: Final answer
    x = 11,617.01

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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.