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Finding the Fourth Proportional to 17,510, 24,163.80 and 13,037.60

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Solution

The fourth proportional to 17,510, 24,163.80 and 13,037.60 is: 17,991.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,510 : 24,163.80 = 13,037.60 : x
  2. Step 2: Convert to fraction form
    17,510/24,163.80 = 13,037.60/x
  3. Step 3: Cross multiply
    17,510x = 24,163.80 × 13,037.60
  4. Step 4: Simplify right side
    17,510x = 315,037,958.88
  5. Step 5: Solve for x
    x = 315,037,958.88/17,510
  6. Step 6: Final answer
    x = 17,991.89

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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.