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Finding the Fourth Proportional to 13,428.93, 20,138.22 and 5,104.56

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Solution

The fourth proportional to 13,428.93, 20,138.22 and 5,104.56 is: 7,654.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,428.93 : 20,138.22 = 5,104.56 : x
  2. Step 2: Convert to fraction form
    13,428.93/20,138.22 = 5,104.56/x
  3. Step 3: Cross multiply
    13,428.93x = 20,138.22 × 5,104.56
  4. Step 4: Simplify right side
    13,428.93x = 102,796,752.28
  5. Step 5: Solve for x
    x = 102,796,752.28/13,428.93
  6. Step 6: Final answer
    x = 7,654.87

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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.