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Finding the Fourth Proportional to 13,853.82, 20,768.43 and 5,086.68

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Solution

The fourth proportional to 13,853.82, 20,768.43 and 5,086.68 is: 7,625.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,853.82 : 20,768.43 = 5,086.68 : x
  2. Step 2: Convert to fraction form
    13,853.82/20,768.43 = 5,086.68/x
  3. Step 3: Cross multiply
    13,853.82x = 20,768.43 × 5,086.68
  4. Step 4: Simplify right side
    13,853.82x = 105,642,357.51
  5. Step 5: Solve for x
    x = 105,642,357.51/13,853.82
  6. Step 6: Final answer
    x = 7,625.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.