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Finding the Fourth Proportional to 20,568.80, 30,775.20 and 13,656.80

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Solution

The fourth proportional to 20,568.80, 30,775.20 and 13,656.80 is: 20,433.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,568.80 : 30,775.20 = 13,656.80 : x
  2. Step 2: Convert to fraction form
    20,568.80/30,775.20 = 13,656.80/x
  3. Step 3: Cross multiply
    20,568.80x = 30,775.20 × 13,656.80
  4. Step 4: Simplify right side
    20,568.80x = 420,290,751.36
  5. Step 5: Solve for x
    x = 420,290,751.36/20,568.80
  6. Step 6: Final answer
    x = 20,433.41

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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.