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Finding the Fourth Proportional to 20,385, 28,131.35 and 11,892.96

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Solution

The fourth proportional to 20,385, 28,131.35 and 11,892.96 is: 16,412.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,385 : 28,131.35 = 11,892.96 : x
  2. Step 2: Convert to fraction form
    20,385/28,131.35 = 11,892.96/x
  3. Step 3: Cross multiply
    20,385x = 28,131.35 × 11,892.96
  4. Step 4: Simplify right side
    20,385x = 334,565,027.73
  5. Step 5: Solve for x
    x = 334,565,027.73/20,385
  6. Step 6: Final answer
    x = 16,412.31

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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.