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Finding the Fourth Proportional to 17,310.71, 25,967.34 and 6,217.50

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Solution

The fourth proportional to 17,310.71, 25,967.34 and 6,217.50 is: 9,326.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,310.71 : 25,967.34 = 6,217.50 : x
  2. Step 2: Convert to fraction form
    17,310.71/25,967.34 = 6,217.50/x
  3. Step 3: Cross multiply
    17,310.71x = 25,967.34 × 6,217.50
  4. Step 4: Simplify right side
    17,310.71x = 161,451,936.45
  5. Step 5: Solve for x
    x = 161,451,936.45/17,310.71
  6. Step 6: Final answer
    x = 9,326.71

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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.