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Finding the Fourth Proportional to 13,282.80, 19,936.50 and 6,713.60

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Solution

The fourth proportional to 13,282.80, 19,936.50 and 6,713.60 is: 10,076.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,282.80 : 19,936.50 = 6,713.60 : x
  2. Step 2: Convert to fraction form
    13,282.80/19,936.50 = 6,713.60/x
  3. Step 3: Cross multiply
    13,282.80x = 19,936.50 × 6,713.60
  4. Step 4: Simplify right side
    13,282.80x = 133,845,561.54
  5. Step 5: Solve for x
    x = 133,845,561.54/13,282.80
  6. Step 6: Final answer
    x = 10,076.61

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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.