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Finding the Fourth Proportional to 17,608.12, 24,299.24 and 9,650.64

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Solution

The fourth proportional to 17,608.12, 24,299.24 and 9,650.64 is: 13,317.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,608.12 : 24,299.24 = 9,650.64 : x
  2. Step 2: Convert to fraction form
    17,608.12/24,299.24 = 9,650.64/x
  3. Step 3: Cross multiply
    17,608.12x = 24,299.24 × 9,650.64
  4. Step 4: Simplify right side
    17,608.12x = 234,503,217.51
  5. Step 5: Solve for x
    x = 234,503,217.51/17,608.12
  6. Step 6: Final answer
    x = 13,317.90

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1.5x scale

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.