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Finding the Fourth Proportional to 20,784.42, 28,679.18 and 11,832.09

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Solution

The fourth proportional to 20,784.42, 28,679.18 and 11,832.09 is: 16,326.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,784.42 : 28,679.18 = 11,832.09 : x
  2. Step 2: Convert to fraction form
    20,784.42/28,679.18 = 11,832.09/x
  3. Step 3: Cross multiply
    20,784.42x = 28,679.18 × 11,832.09
  4. Step 4: Simplify right side
    20,784.42x = 339,334,579.73
  5. Step 5: Solve for x
    x = 339,334,579.73/20,784.42
  6. Step 6: Final answer
    x = 16,326.39

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Why These Related Problems?

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