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Finding the Fourth Proportional to 18,378.42, 27,576.74 and 7,284.86

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Solution

The fourth proportional to 18,378.42, 27,576.74 and 7,284.86 is: 10,930.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,378.42 : 27,576.74 = 7,284.86 : x
  2. Step 2: Convert to fraction form
    18,378.42/27,576.74 = 7,284.86/x
  3. Step 3: Cross multiply
    18,378.42x = 27,576.74 × 7,284.86
  4. Step 4: Simplify right side
    18,378.42x = 200,892,690.16
  5. Step 5: Solve for x
    x = 200,892,690.16/18,378.42
  6. Step 6: Final answer
    x = 10,930.90

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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.