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Finding the Fourth Proportional to 20,114.46, 27,761.25 and 11,164.84

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Solution

The fourth proportional to 20,114.46, 27,761.25 and 11,164.84 is: 15,409.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,114.46 : 27,761.25 = 11,164.84 : x
  2. Step 2: Convert to fraction form
    20,114.46/27,761.25 = 11,164.84/x
  3. Step 3: Cross multiply
    20,114.46x = 27,761.25 × 11,164.84
  4. Step 4: Simplify right side
    20,114.46x = 309,949,824.11
  5. Step 5: Solve for x
    x = 309,949,824.11/20,114.46
  6. Step 6: Final answer
    x = 15,409.30

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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.