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Finding the Fourth Proportional to 13,954.16, 20,936.10 and 5,191.58

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Solution

The fourth proportional to 13,954.16, 20,936.10 and 5,191.58 is: 7,789.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,954.16 : 20,936.10 = 5,191.58 : x
  2. Step 2: Convert to fraction form
    13,954.16/20,936.10 = 5,191.58/x
  3. Step 3: Cross multiply
    13,954.16x = 20,936.10 × 5,191.58
  4. Step 4: Simplify right side
    13,954.16x = 108,691,438.04
  5. Step 5: Solve for x
    x = 108,691,438.04/13,954.16
  6. Step 6: Final answer
    x = 7,789.18

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.