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Finding the Fourth Proportional to 17,900.82, 26,851.50 and 6,214.41

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Solution

The fourth proportional to 17,900.82, 26,851.50 and 6,214.41 is: 9,321.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,900.82 : 26,851.50 = 6,214.41 : x
  2. Step 2: Convert to fraction form
    17,900.82/26,851.50 = 6,214.41/x
  3. Step 3: Cross multiply
    17,900.82x = 26,851.50 × 6,214.41
  4. Step 4: Simplify right side
    17,900.82x = 166,866,230.12
  5. Step 5: Solve for x
    x = 166,866,230.12/17,900.82
  6. Step 6: Final answer
    x = 9,321.71

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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.