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Finding the Fourth Proportional to 13,028.14, 19,553.95 and 8,107.39

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Solution

The fourth proportional to 13,028.14, 19,553.95 and 8,107.39 is: 12,168.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,028.14 : 19,553.95 = 8,107.39 : x
  2. Step 2: Convert to fraction form
    13,028.14/19,553.95 = 8,107.39/x
  3. Step 3: Cross multiply
    13,028.14x = 19,553.95 × 8,107.39
  4. Step 4: Simplify right side
    13,028.14x = 158,531,400.92
  5. Step 5: Solve for x
    x = 158,531,400.92/13,028.14
  6. Step 6: Final answer
    x = 12,168.39

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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.