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Finding the Fourth Proportional to 13,847.72, 20,780.28 and 7,278.56

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Solution

The fourth proportional to 13,847.72, 20,780.28 and 7,278.56 is: 10,922.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,847.72 : 20,780.28 = 7,278.56 : x
  2. Step 2: Convert to fraction form
    13,847.72/20,780.28 = 7,278.56/x
  3. Step 3: Cross multiply
    13,847.72x = 20,780.28 × 7,278.56
  4. Step 4: Simplify right side
    13,847.72x = 151,250,514.80
  5. Step 5: Solve for x
    x = 151,250,514.80/13,847.72
  6. Step 6: Final answer
    x = 10,922.41

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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.