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Finding the Fourth Proportional to 17,399.68, 24,011.66 and 10,229.22

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Solution

The fourth proportional to 17,399.68, 24,011.66 and 10,229.22 is: 14,116.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,399.68 : 24,011.66 = 10,229.22 : x
  2. Step 2: Convert to fraction form
    17,399.68/24,011.66 = 10,229.22/x
  3. Step 3: Cross multiply
    17,399.68x = 24,011.66 × 10,229.22
  4. Step 4: Simplify right side
    17,399.68x = 245,620,578.28
  5. Step 5: Solve for x
    x = 245,620,578.28/17,399.68
  6. Step 6: Final answer
    x = 14,116.39

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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.