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Finding the Fourth Proportional to 21,267.21, 29,358.81 and 14,198.34

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Solution

The fourth proportional to 21,267.21, 29,358.81 and 14,198.34 is: 19,600.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,267.21 : 29,358.81 = 14,198.34 : x
  2. Step 2: Convert to fraction form
    21,267.21/29,358.81 = 14,198.34/x
  3. Step 3: Cross multiply
    21,267.21x = 29,358.81 × 14,198.34
  4. Step 4: Simplify right side
    21,267.21x = 416,846,366.38
  5. Step 5: Solve for x
    x = 416,846,366.38/21,267.21
  6. Step 6: Final answer
    x = 19,600.43

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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.