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Finding the Fourth Proportional to 20,170.80, 27,833.56 and 11,216.86

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Solution

The fourth proportional to 20,170.80, 27,833.56 and 11,216.86 is: 15,478.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,170.80 : 27,833.56 = 11,216.86 : x
  2. Step 2: Convert to fraction form
    20,170.80/27,833.56 = 11,216.86/x
  3. Step 3: Cross multiply
    20,170.80x = 27,833.56 × 11,216.86
  4. Step 4: Simplify right side
    20,170.80x = 312,205,048.20
  5. Step 5: Solve for x
    x = 312,205,048.20/20,170.80
  6. Step 6: Final answer
    x = 15,478.07

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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.