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Finding the Fourth Proportional to 22,767, 31,418.46 and 12,831

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Solution

The fourth proportional to 22,767, 31,418.46 and 12,831 is: 17,706.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,767 : 31,418.46 = 12,831 : x
  2. Step 2: Convert to fraction form
    22,767/31,418.46 = 12,831/x
  3. Step 3: Cross multiply
    22,767x = 31,418.46 × 12,831
  4. Step 4: Simplify right side
    22,767x = 403,130,260.26
  5. Step 5: Solve for x
    x = 403,130,260.26/22,767
  6. Step 6: Final answer
    x = 17,706.78

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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.