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Finding the Fourth Proportional to 20,873.74, 31,310.06 and 6,086.74

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Solution

The fourth proportional to 20,873.74, 31,310.06 and 6,086.74 is: 9,129.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,873.74 : 31,310.06 = 6,086.74 : x
  2. Step 2: Convert to fraction form
    20,873.74/31,310.06 = 6,086.74/x
  3. Step 3: Cross multiply
    20,873.74x = 31,310.06 × 6,086.74
  4. Step 4: Simplify right side
    20,873.74x = 190,576,194.60
  5. Step 5: Solve for x
    x = 190,576,194.60/20,873.74
  6. Step 6: Final answer
    x = 9,129.95

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Why These Related Problems?

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