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Finding the Fourth Proportional to 17,608.64, 24,299.78 and 9,650.84

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Solution

The fourth proportional to 17,608.64, 24,299.78 and 9,650.84 is: 13,318.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,608.64 : 24,299.78 = 9,650.84 : x
  2. Step 2: Convert to fraction form
    17,608.64/24,299.78 = 9,650.84/x
  3. Step 3: Cross multiply
    17,608.64x = 24,299.78 × 9,650.84
  4. Step 4: Simplify right side
    17,608.64x = 234,513,288.82
  5. Step 5: Solve for x
    x = 234,513,288.82/17,608.64
  6. Step 6: Final answer
    x = 13,318.08

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