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Finding the Fourth Proportional to 20,854.66, 31,286.89 and 6,063.14

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Solution

The fourth proportional to 20,854.66, 31,286.89 and 6,063.14 is: 9,096.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,854.66 : 31,286.89 = 6,063.14 : x
  2. Step 2: Convert to fraction form
    20,854.66/31,286.89 = 6,063.14/x
  3. Step 3: Cross multiply
    20,854.66x = 31,286.89 × 6,063.14
  4. Step 4: Simplify right side
    20,854.66x = 189,696,794.23
  5. Step 5: Solve for x
    x = 189,696,794.23/20,854.66
  6. Step 6: Final answer
    x = 9,096.14

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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.