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Finding the Fourth Proportional to 13,833.76, 19,093.04 and 8,168.14

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Solution

The fourth proportional to 13,833.76, 19,093.04 and 8,168.14 is: 11,273.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,833.76 : 19,093.04 = 8,168.14 : x
  2. Step 2: Convert to fraction form
    13,833.76/19,093.04 = 8,168.14/x
  3. Step 3: Cross multiply
    13,833.76x = 19,093.04 × 8,168.14
  4. Step 4: Simplify right side
    13,833.76x = 155,954,660.37
  5. Step 5: Solve for x
    x = 155,954,660.37/13,833.76
  6. Step 6: Final answer
    x = 11,273.48

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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.