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Finding the Fourth Proportional to 17,496, 24,144.48 and 11,209.59

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Solution

The fourth proportional to 17,496, 24,144.48 and 11,209.59 is: 15,469.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,496 : 24,144.48 = 11,209.59 : x
  2. Step 2: Convert to fraction form
    17,496/24,144.48 = 11,209.59/x
  3. Step 3: Cross multiply
    17,496x = 24,144.48 × 11,209.59
  4. Step 4: Simplify right side
    17,496x = 270,649,721.56
  5. Step 5: Solve for x
    x = 270,649,721.56/17,496
  6. Step 6: Final answer
    x = 15,469.23

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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.