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Finding the Fourth Proportional to 22,671.38, 31,287.08 and 12,462.27

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Solution

The fourth proportional to 22,671.38, 31,287.08 and 12,462.27 is: 17,198.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,671.38 : 31,287.08 = 12,462.27 : x
  2. Step 2: Convert to fraction form
    22,671.38/31,287.08 = 12,462.27/x
  3. Step 3: Cross multiply
    22,671.38x = 31,287.08 × 12,462.27
  4. Step 4: Simplify right side
    22,671.38x = 389,907,976.16
  5. Step 5: Solve for x
    x = 389,907,976.16/22,671.38
  6. Step 6: Final answer
    x = 17,198.25

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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.