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Finding the Fourth Proportional to 20,119.76, 27,764.75 and 11,167

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Solution

The fourth proportional to 20,119.76, 27,764.75 and 11,167 is: 15,410.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,119.76 : 27,764.75 = 11,167 : x
  2. Step 2: Convert to fraction form
    20,119.76/27,764.75 = 11,167/x
  3. Step 3: Cross multiply
    20,119.76x = 27,764.75 × 11,167
  4. Step 4: Simplify right side
    20,119.76x = 310,048,963.25
  5. Step 5: Solve for x
    x = 310,048,963.25/20,119.76
  6. Step 6: Final answer
    x = 15,410.17

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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.