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Finding the Fourth Proportional to 12,853.40, 17,722.14 and 8,868.20

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Solution

The fourth proportional to 12,853.40, 17,722.14 and 8,868.20 is: 12,227.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,853.40 : 17,722.14 = 8,868.20 : x
  2. Step 2: Convert to fraction form
    12,853.40/17,722.14 = 8,868.20/x
  3. Step 3: Cross multiply
    12,853.40x = 17,722.14 × 8,868.20
  4. Step 4: Simplify right side
    12,853.40x = 157,163,481.95
  5. Step 5: Solve for x
    x = 157,163,481.95/12,853.40
  6. Step 6: Final answer
    x = 12,227.39

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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.