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Finding the Fourth Proportional to 17,752.20, 24,497.68 and 9,794.62

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Solution

The fourth proportional to 17,752.20, 24,497.68 and 9,794.62 is: 13,516.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,752.20 : 24,497.68 = 9,794.62 : x
  2. Step 2: Convert to fraction form
    17,752.20/24,497.68 = 9,794.62/x
  3. Step 3: Cross multiply
    17,752.20x = 24,497.68 × 9,794.62
  4. Step 4: Simplify right side
    17,752.20x = 239,945,466.48
  5. Step 5: Solve for x
    x = 239,945,466.48/17,752.20
  6. Step 6: Final answer
    x = 13,516.38

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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.