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Finding the Fourth Proportional to 22,733, 31,372.02 and 12,797

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Solution

The fourth proportional to 22,733, 31,372.02 and 12,797 is: 17,660.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,733 : 31,372.02 = 12,797 : x
  2. Step 2: Convert to fraction form
    22,733/31,372.02 = 12,797/x
  3. Step 3: Cross multiply
    22,733x = 31,372.02 × 12,797
  4. Step 4: Simplify right side
    22,733x = 401,467,739.94
  5. Step 5: Solve for x
    x = 401,467,739.94/22,733
  6. Step 6: Final answer
    x = 17,660.13

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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.