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Finding the Fourth Proportional to 17,509.49, 24,163.09 and 9,551.75

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Solution

The fourth proportional to 17,509.49, 24,163.09 and 9,551.75 is: 13,181.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,509.49 : 24,163.09 = 9,551.75 : x
  2. Step 2: Convert to fraction form
    17,509.49/24,163.09 = 9,551.75/x
  3. Step 3: Cross multiply
    17,509.49x = 24,163.09 × 9,551.75
  4. Step 4: Simplify right side
    17,509.49x = 230,799,794.91
  5. Step 5: Solve for x
    x = 230,799,794.91/17,509.49
  6. Step 6: Final answer
    x = 13,181.41

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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.