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Finding the Fourth Proportional to 20,132.76, 27,781.81 and 11,179.74

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Solution

The fourth proportional to 20,132.76, 27,781.81 and 11,179.74 is: 15,427.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,132.76 : 27,781.81 = 11,179.74 : x
  2. Step 2: Convert to fraction form
    20,132.76/27,781.81 = 11,179.74/x
  3. Step 3: Cross multiply
    20,132.76x = 27,781.81 × 11,179.74
  4. Step 4: Simplify right side
    20,132.76x = 310,593,412.53
  5. Step 5: Solve for x
    x = 310,593,412.53/20,132.76
  6. Step 6: Final answer
    x = 15,427.26

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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.