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Finding the Fourth Proportional to 12,185.96, 18,286.46 and 4,789.12

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Solution

The fourth proportional to 12,185.96, 18,286.46 and 4,789.12 is: 7,186.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,185.96 : 18,286.46 = 4,789.12 : x
  2. Step 2: Convert to fraction form
    12,185.96/18,286.46 = 4,789.12/x
  3. Step 3: Cross multiply
    12,185.96x = 18,286.46 × 4,789.12
  4. Step 4: Simplify right side
    12,185.96x = 87,576,051.32
  5. Step 5: Solve for x
    x = 87,576,051.32/12,185.96
  6. Step 6: Final answer
    x = 7,186.64

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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.