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Finding the Fourth Proportional to 13,309.50, 19,963.70 and 3,949.14

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Solution

The fourth proportional to 13,309.50, 19,963.70 and 3,949.14 is: 5,923.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,309.50 : 19,963.70 = 3,949.14 : x
  2. Step 2: Convert to fraction form
    13,309.50/19,963.70 = 3,949.14/x
  3. Step 3: Cross multiply
    13,309.50x = 19,963.70 × 3,949.14
  4. Step 4: Simplify right side
    13,309.50x = 78,839,446.22
  5. Step 5: Solve for x
    x = 78,839,446.22/13,309.50
  6. Step 6: Final answer
    x = 5,923.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.