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Finding the Fourth Proportional to 20,505.64, 28,297.78 and 11,074.20

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Solution

The fourth proportional to 20,505.64, 28,297.78 and 11,074.20 is: 15,282.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,505.64 : 28,297.78 = 11,074.20 : x
  2. Step 2: Convert to fraction form
    20,505.64/28,297.78 = 11,074.20/x
  3. Step 3: Cross multiply
    20,505.64x = 28,297.78 × 11,074.20
  4. Step 4: Simplify right side
    20,505.64x = 313,375,275.28
  5. Step 5: Solve for x
    x = 313,375,275.28/20,505.64
  6. Step 6: Final answer
    x = 15,282.39

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.