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Finding the Fourth Proportional to 17,515.20, 24,169.04 and 10,440.24

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Solution

The fourth proportional to 17,515.20, 24,169.04 and 10,440.24 is: 14,406.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,515.20 : 24,169.04 = 10,440.24 : x
  2. Step 2: Convert to fraction form
    17,515.20/24,169.04 = 10,440.24/x
  3. Step 3: Cross multiply
    17,515.20x = 24,169.04 × 10,440.24
  4. Step 4: Simplify right side
    17,515.20x = 252,330,578.17
  5. Step 5: Solve for x
    x = 252,330,578.17/17,515.20
  6. Step 6: Final answer
    x = 14,406.38

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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.