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Finding the Fourth Proportional to 12,896.38, 19,353.21 and 4,688.38

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Solution

The fourth proportional to 12,896.38, 19,353.21 and 4,688.38 is: 7,035.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,896.38 : 19,353.21 = 4,688.38 : x
  2. Step 2: Convert to fraction form
    12,896.38/19,353.21 = 4,688.38/x
  3. Step 3: Cross multiply
    12,896.38x = 19,353.21 × 4,688.38
  4. Step 4: Simplify right side
    12,896.38x = 90,735,202.70
  5. Step 5: Solve for x
    x = 90,735,202.70/12,896.38
  6. Step 6: Final answer
    x = 7,035.71

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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.