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Finding the Fourth Proportional to 12,449.70, 17,197.38 and 9,949.30

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Solution

The fourth proportional to 12,449.70, 17,197.38 and 9,949.30 is: 13,743.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,449.70 : 17,197.38 = 9,949.30 : x
  2. Step 2: Convert to fraction form
    12,449.70/17,197.38 = 9,949.30/x
  3. Step 3: Cross multiply
    12,449.70x = 17,197.38 × 9,949.30
  4. Step 4: Simplify right side
    12,449.70x = 171,101,849.84
  5. Step 5: Solve for x
    x = 171,101,849.84/12,449.70
  6. Step 6: Final answer
    x = 13,743.45

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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.