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Finding the Fourth Proportional to 20,585.75, 30,878.31 and 6,546.62

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Solution

The fourth proportional to 20,585.75, 30,878.31 and 6,546.62 is: 9,819.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,585.75 : 30,878.31 = 6,546.62 : x
  2. Step 2: Convert to fraction form
    20,585.75/30,878.31 = 6,546.62/x
  3. Step 3: Cross multiply
    20,585.75x = 30,878.31 × 6,546.62
  4. Step 4: Simplify right side
    20,585.75x = 202,148,663.56
  5. Step 5: Solve for x
    x = 202,148,663.56/20,585.75
  6. Step 6: Final answer
    x = 9,819.84

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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.