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Finding the Fourth Proportional to 12,606.72, 18,912.88 and 3,842.30

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Solution

The fourth proportional to 12,606.72, 18,912.88 and 3,842.30 is: 5,764.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,606.72 : 18,912.88 = 3,842.30 : x
  2. Step 2: Convert to fraction form
    12,606.72/18,912.88 = 3,842.30/x
  3. Step 3: Cross multiply
    12,606.72x = 18,912.88 × 3,842.30
  4. Step 4: Simplify right side
    12,606.72x = 72,668,958.82
  5. Step 5: Solve for x
    x = 72,668,958.82/12,606.72
  6. Step 6: Final answer
    x = 5,764.30

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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.