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Finding the Fourth Proportional to 19,142.46, 28,709.01 and 8,049.29

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Solution

The fourth proportional to 19,142.46, 28,709.01 and 8,049.29 is: 12,071.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,142.46 : 28,709.01 = 8,049.29 : x
  2. Step 2: Convert to fraction form
    19,142.46/28,709.01 = 8,049.29/x
  3. Step 3: Cross multiply
    19,142.46x = 28,709.01 × 8,049.29
  4. Step 4: Simplify right side
    19,142.46x = 231,087,003.56
  5. Step 5: Solve for x
    x = 231,087,003.56/19,142.46
  6. Step 6: Final answer
    x = 12,071.96

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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.