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Finding the Fourth Proportional to 20,176.82, 27,843.12 and 11,223.62

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Solution

The fourth proportional to 20,176.82, 27,843.12 and 11,223.62 is: 15,488.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,176.82 : 27,843.12 = 11,223.62 : x
  2. Step 2: Convert to fraction form
    20,176.82/27,843.12 = 11,223.62/x
  3. Step 3: Cross multiply
    20,176.82x = 27,843.12 × 11,223.62
  4. Step 4: Simplify right side
    20,176.82x = 312,500,598.49
  5. Step 5: Solve for x
    x = 312,500,598.49/20,176.82
  6. Step 6: Final answer
    x = 15,488.10

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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.