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Finding the Fourth Proportional to 22,713, 31,343.96 and 12,777

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Solution

The fourth proportional to 22,713, 31,343.96 and 12,777 is: 17,632.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,713 : 31,343.96 = 12,777 : x
  2. Step 2: Convert to fraction form
    22,713/31,343.96 = 12,777/x
  3. Step 3: Cross multiply
    22,713x = 31,343.96 × 12,777
  4. Step 4: Simplify right side
    22,713x = 400,481,776.92
  5. Step 5: Solve for x
    x = 400,481,776.92/22,713
  6. Step 6: Final answer
    x = 17,632.27

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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.