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Finding the Fourth Proportional to 12,708.94, 19,063.41 and 3,474.94

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Solution

The fourth proportional to 12,708.94, 19,063.41 and 3,474.94 is: 5,212.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,708.94 : 19,063.41 = 3,474.94 : x
  2. Step 2: Convert to fraction form
    12,708.94/19,063.41 = 3,474.94/x
  3. Step 3: Cross multiply
    12,708.94x = 19,063.41 × 3,474.94
  4. Step 4: Simplify right side
    12,708.94x = 66,244,145.26
  5. Step 5: Solve for x
    x = 66,244,145.26/12,708.94
  6. Step 6: Final answer
    x = 5,212.41

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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.