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Finding the Fourth Proportional to 20,590.20, 30,885.24 and 8,286.84

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Solution

The fourth proportional to 20,590.20, 30,885.24 and 8,286.84 is: 12,430.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,590.20 : 30,885.24 = 8,286.84 : x
  2. Step 2: Convert to fraction form
    20,590.20/30,885.24 = 8,286.84/x
  3. Step 3: Cross multiply
    20,590.20x = 30,885.24 × 8,286.84
  4. Step 4: Simplify right side
    20,590.20x = 255,941,042.24
  5. Step 5: Solve for x
    x = 255,941,042.24/20,590.20
  6. Step 6: Final answer
    x = 12,430.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.