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Finding the Fourth Proportional to 17,321.50, 25,983.60 and 6,229.63

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Solution

The fourth proportional to 17,321.50, 25,983.60 and 6,229.63 is: 9,344.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,321.50 : 25,983.60 = 6,229.63 : x
  2. Step 2: Convert to fraction form
    17,321.50/25,983.60 = 6,229.63/x
  3. Step 3: Cross multiply
    17,321.50x = 25,983.60 × 6,229.63
  4. Step 4: Simplify right side
    17,321.50x = 161,868,214.07
  5. Step 5: Solve for x
    x = 161,868,214.07/17,321.50
  6. Step 6: Final answer
    x = 9,344.93

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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.