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Finding the Fourth Proportional to 22,995.30, 31,733.10 and 12,786.96

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Solution

The fourth proportional to 22,995.30, 31,733.10 and 12,786.96 is: 17,645.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,995.30 : 31,733.10 = 12,786.96 : x
  2. Step 2: Convert to fraction form
    22,995.30/31,733.10 = 12,786.96/x
  3. Step 3: Cross multiply
    22,995.30x = 31,733.10 × 12,786.96
  4. Step 4: Simplify right side
    22,995.30x = 405,769,880.38
  5. Step 5: Solve for x
    x = 405,769,880.38/22,995.30
  6. Step 6: Final answer
    x = 17,645.77

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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.