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Finding the Fourth Proportional to 11,942.70, 17,912.68 and 3,178.30

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Solution

The fourth proportional to 11,942.70, 17,912.68 and 3,178.30 is: 4,767.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,942.70 : 17,912.68 = 3,178.30 : x
  2. Step 2: Convert to fraction form
    11,942.70/17,912.68 = 3,178.30/x
  3. Step 3: Cross multiply
    11,942.70x = 17,912.68 × 3,178.30
  4. Step 4: Simplify right side
    11,942.70x = 56,931,801.32
  5. Step 5: Solve for x
    x = 56,931,801.32/11,942.70
  6. Step 6: Final answer
    x = 4,767.08

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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.