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Finding the Fourth Proportional to 20,357.27, 28,094.67 and 11,406.77

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Solution

The fourth proportional to 20,357.27, 28,094.67 and 11,406.77 is: 15,742.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,357.27 : 28,094.67 = 11,406.77 : x
  2. Step 2: Convert to fraction form
    20,357.27/28,094.67 = 11,406.77/x
  3. Step 3: Cross multiply
    20,357.27x = 28,094.67 × 11,406.77
  4. Step 4: Simplify right side
    20,357.27x = 320,469,298.44
  5. Step 5: Solve for x
    x = 320,469,298.44/20,357.27
  6. Step 6: Final answer
    x = 15,742.26

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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.