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Finding the Fourth Proportional to 20,834.94, 31,216.02 and 17,347.35

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Solution

The fourth proportional to 20,834.94, 31,216.02 and 17,347.35 is: 25,990.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,834.94 : 31,216.02 = 17,347.35 : x
  2. Step 2: Convert to fraction form
    20,834.94/31,216.02 = 17,347.35/x
  3. Step 3: Cross multiply
    20,834.94x = 31,216.02 × 17,347.35
  4. Step 4: Simplify right side
    20,834.94x = 541,515,224.55
  5. Step 5: Solve for x
    x = 541,515,224.55/20,834.94
  6. Step 6: Final answer
    x = 25,990.73

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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.