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Finding the Fourth Proportional to 20,896.31, 28,836.91 and 11,464.67

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Solution

The fourth proportional to 20,896.31, 28,836.91 and 11,464.67 is: 15,821.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,896.31 : 28,836.91 = 11,464.67 : x
  2. Step 2: Convert to fraction form
    20,896.31/28,836.91 = 11,464.67/x
  3. Step 3: Cross multiply
    20,896.31x = 28,836.91 × 11,464.67
  4. Step 4: Simplify right side
    20,896.31x = 330,605,743.39
  5. Step 5: Solve for x
    x = 330,605,743.39/20,896.31
  6. Step 6: Final answer
    x = 15,821.25

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.