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Finding the Fourth Proportional to 20,766.96, 28,662.12 and 12,384

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Solution

The fourth proportional to 20,766.96, 28,662.12 and 12,384 is: 17,092.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,766.96 : 28,662.12 = 12,384 : x
  2. Step 2: Convert to fraction form
    20,766.96/28,662.12 = 12,384/x
  3. Step 3: Cross multiply
    20,766.96x = 28,662.12 × 12,384
  4. Step 4: Simplify right side
    20,766.96x = 354,951,694.08
  5. Step 5: Solve for x
    x = 354,951,694.08/20,766.96
  6. Step 6: Final answer
    x = 17,092.14

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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.