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Finding the Fourth Proportional to 20,857.12, 28,773.20 and 12,020

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Solution

The fourth proportional to 20,857.12, 28,773.20 and 12,020 is: 16,582.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,857.12 : 28,773.20 = 12,020 : x
  2. Step 2: Convert to fraction form
    20,857.12/28,773.20 = 12,020/x
  3. Step 3: Cross multiply
    20,857.12x = 28,773.20 × 12,020
  4. Step 4: Simplify right side
    20,857.12x = 345,853,864
  5. Step 5: Solve for x
    x = 345,853,864/20,857.12
  6. Step 6: Final answer
    x = 16,582.05

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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.