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Finding the Fourth Proportional to 20,109.25, 27,750.77 and 11,158.21

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Solution

The fourth proportional to 20,109.25, 27,750.77 and 11,158.21 is: 15,398.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,109.25 : 27,750.77 = 11,158.21 : x
  2. Step 2: Convert to fraction form
    20,109.25/27,750.77 = 11,158.21/x
  3. Step 3: Cross multiply
    20,109.25x = 27,750.77 × 11,158.21
  4. Step 4: Simplify right side
    20,109.25x = 309,648,919.32
  5. Step 5: Solve for x
    x = 309,648,919.32/20,109.25
  6. Step 6: Final answer
    x = 15,398.33

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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.