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Finding the Fourth Proportional to 12,868, 19,302 and 3,634.24

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Solution

The fourth proportional to 12,868, 19,302 and 3,634.24 is: 5,451.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,868 : 19,302 = 3,634.24 : x
  2. Step 2: Convert to fraction form
    12,868/19,302 = 3,634.24/x
  3. Step 3: Cross multiply
    12,868x = 19,302 × 3,634.24
  4. Step 4: Simplify right side
    12,868x = 70,148,100.48
  5. Step 5: Solve for x
    x = 70,148,100.48/12,868
  6. Step 6: Final answer
    x = 5,451.36

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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.