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Finding the Fourth Proportional to 20,909.44, 28,855 and 11,478

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Solution

The fourth proportional to 20,909.44, 28,855 and 11,478 is: 15,839.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,909.44 : 28,855 = 11,478 : x
  2. Step 2: Convert to fraction form
    20,909.44/28,855 = 11,478/x
  3. Step 3: Cross multiply
    20,909.44x = 28,855 × 11,478
  4. Step 4: Simplify right side
    20,909.44x = 331,197,690
  5. Step 5: Solve for x
    x = 331,197,690/20,909.44
  6. Step 6: Final answer
    x = 15,839.63

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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.