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Finding the Fourth Proportional to 20,896.71, 31,309.76 and 10,352.67

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Solution

The fourth proportional to 20,896.71, 31,309.76 and 10,352.67 is: 15,511.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,896.71 : 31,309.76 = 10,352.67 : x
  2. Step 2: Convert to fraction form
    20,896.71/31,309.76 = 10,352.67/x
  3. Step 3: Cross multiply
    20,896.71x = 31,309.76 × 10,352.67
  4. Step 4: Simplify right side
    20,896.71x = 324,139,561.30
  5. Step 5: Solve for x
    x = 324,139,561.30/20,896.71
  6. Step 6: Final answer
    x = 15,511.51

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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.