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Finding the Fourth Proportional to 20,843.20, 31,245.84 and 7,686.40

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Solution

The fourth proportional to 20,843.20, 31,245.84 and 7,686.40 is: 11,522.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,843.20 : 31,245.84 = 7,686.40 : x
  2. Step 2: Convert to fraction form
    20,843.20/31,245.84 = 7,686.40/x
  3. Step 3: Cross multiply
    20,843.20x = 31,245.84 × 7,686.40
  4. Step 4: Simplify right side
    20,843.20x = 240,168,024.58
  5. Step 5: Solve for x
    x = 240,168,024.58/20,843.20
  6. Step 6: Final answer
    x = 11,522.61

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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.