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Finding the Fourth Proportional to 13,786.68, 20,680.14 and 5,021.64

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Solution

The fourth proportional to 13,786.68, 20,680.14 and 5,021.64 is: 7,532.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,786.68 : 20,680.14 = 5,021.64 : x
  2. Step 2: Convert to fraction form
    13,786.68/20,680.14 = 5,021.64/x
  3. Step 3: Cross multiply
    13,786.68x = 20,680.14 × 5,021.64
  4. Step 4: Simplify right side
    13,786.68x = 103,848,218.23
  5. Step 5: Solve for x
    x = 103,848,218.23/13,786.68
  6. Step 6: Final answer
    x = 7,532.50

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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.