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Finding the Fourth Proportional to 17,630.52, 24,331.69 and 9,674.29

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Solution

The fourth proportional to 17,630.52, 24,331.69 and 9,674.29 is: 13,351.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,630.52 : 24,331.69 = 9,674.29 : x
  2. Step 2: Convert to fraction form
    17,630.52/24,331.69 = 9,674.29/x
  3. Step 3: Cross multiply
    17,630.52x = 24,331.69 × 9,674.29
  4. Step 4: Simplify right side
    17,630.52x = 235,391,825.25
  5. Step 5: Solve for x
    x = 235,391,825.25/17,630.52
  6. Step 6: Final answer
    x = 13,351.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.