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Finding the Fourth Proportional to 17,608.29, 24,299.65 and 9,650.34

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Solution

The fourth proportional to 17,608.29, 24,299.65 and 9,650.34 is: 13,317.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,608.29 : 24,299.65 = 9,650.34 : x
  2. Step 2: Convert to fraction form
    17,608.29/24,299.65 = 9,650.34/x
  3. Step 3: Cross multiply
    17,608.29x = 24,299.65 × 9,650.34
  4. Step 4: Simplify right side
    17,608.29x = 234,499,884.38
  5. Step 5: Solve for x
    x = 234,499,884.38/17,608.29
  6. Step 6: Final answer
    x = 13,317.58

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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.