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Finding the Fourth Proportional to 20,905.80, 31,336.74 and 6,862.20

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Solution

The fourth proportional to 20,905.80, 31,336.74 and 6,862.20 is: 10,286.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,905.80 : 31,336.74 = 6,862.20 : x
  2. Step 2: Convert to fraction form
    20,905.80/31,336.74 = 6,862.20/x
  3. Step 3: Cross multiply
    20,905.80x = 31,336.74 × 6,862.20
  4. Step 4: Simplify right side
    20,905.80x = 215,038,977.23
  5. Step 5: Solve for x
    x = 215,038,977.23/20,905.80
  6. Step 6: Final answer
    x = 10,286.09

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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.