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Finding the Fourth Proportional to 13,394.21, 20,091.54 and 5,078.14

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Solution

The fourth proportional to 13,394.21, 20,091.54 and 5,078.14 is: 7,617.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,394.21 : 20,091.54 = 5,078.14 : x
  2. Step 2: Convert to fraction form
    13,394.21/20,091.54 = 5,078.14/x
  3. Step 3: Cross multiply
    13,394.21x = 20,091.54 × 5,078.14
  4. Step 4: Simplify right side
    13,394.21x = 102,027,527.09
  5. Step 5: Solve for x
    x = 102,027,527.09/13,394.21
  6. Step 6: Final answer
    x = 7,617.29

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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.