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Finding the Fourth Proportional to 20,167.80, 27,832.20 and 11,215.68

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Solution

The fourth proportional to 20,167.80, 27,832.20 and 11,215.68 is: 15,477.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,167.80 : 27,832.20 = 11,215.68 : x
  2. Step 2: Convert to fraction form
    20,167.80/27,832.20 = 11,215.68/x
  3. Step 3: Cross multiply
    20,167.80x = 27,832.20 × 11,215.68
  4. Step 4: Simplify right side
    20,167.80x = 312,157,048.90
  5. Step 5: Solve for x
    x = 312,157,048.90/20,167.80
  6. Step 6: Final answer
    x = 15,477.99

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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.