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Finding the Fourth Proportional to 20,835.78, 31,217.20 and 17,348.20

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Solution

The fourth proportional to 20,835.78, 31,217.20 and 17,348.20 is: 25,991.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,835.78 : 31,217.20 = 17,348.20 : x
  2. Step 2: Convert to fraction form
    20,835.78/31,217.20 = 17,348.20/x
  3. Step 3: Cross multiply
    20,835.78x = 31,217.20 × 17,348.20
  4. Step 4: Simplify right side
    20,835.78x = 541,562,229.04
  5. Step 5: Solve for x
    x = 541,562,229.04/20,835.78
  6. Step 6: Final answer
    x = 25,991.93

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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.