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Finding the Fourth Proportional to 20,107.48, 27,747.07 and 11,154.80

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Solution

The fourth proportional to 20,107.48, 27,747.07 and 11,154.80 is: 15,392.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,107.48 : 27,747.07 = 11,154.80 : x
  2. Step 2: Convert to fraction form
    20,107.48/27,747.07 = 11,154.80/x
  3. Step 3: Cross multiply
    20,107.48x = 27,747.07 × 11,154.80
  4. Step 4: Simplify right side
    20,107.48x = 309,513,016.44
  5. Step 5: Solve for x
    x = 309,513,016.44/20,107.48
  6. Step 6: Final answer
    x = 15,392.93

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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.