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Finding the Fourth Proportional to 20,212.80, 27,878.76 and 13,495.20

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Solution

The fourth proportional to 20,212.80, 27,878.76 and 13,495.20 is: 18,613.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,212.80 : 27,878.76 = 13,495.20 : x
  2. Step 2: Convert to fraction form
    20,212.80/27,878.76 = 13,495.20/x
  3. Step 3: Cross multiply
    20,212.80x = 27,878.76 × 13,495.20
  4. Step 4: Simplify right side
    20,212.80x = 376,229,441.95
  5. Step 5: Solve for x
    x = 376,229,441.95/20,212.80
  6. Step 6: Final answer
    x = 18,613.43

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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.