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Finding the Fourth Proportional to 20,896.23, 28,836.77 and 11,464.77

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Solution

The fourth proportional to 20,896.23, 28,836.77 and 11,464.77 is: 15,821.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,896.23 : 28,836.77 = 11,464.77 : x
  2. Step 2: Convert to fraction form
    20,896.23/28,836.77 = 11,464.77/x
  3. Step 3: Cross multiply
    20,896.23x = 28,836.77 × 11,464.77
  4. Step 4: Simplify right side
    20,896.23x = 330,606,878.27
  5. Step 5: Solve for x
    x = 330,606,878.27/20,896.23
  6. Step 6: Final answer
    x = 15,821.36

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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.