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Finding the Fourth Proportional to 13,282.67, 19,936.31 and 6,713.47

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Solution

The fourth proportional to 13,282.67, 19,936.31 and 6,713.47 is: 10,076.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,282.67 : 19,936.31 = 6,713.47 : x
  2. Step 2: Convert to fraction form
    13,282.67/19,936.31 = 6,713.47/x
  3. Step 3: Cross multiply
    13,282.67x = 19,936.31 × 6,713.47
  4. Step 4: Simplify right side
    13,282.67x = 133,841,819.10
  5. Step 5: Solve for x
    x = 133,841,819.10/13,282.67
  6. Step 6: Final answer
    x = 10,076.42

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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.