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Finding the Fourth Proportional to 22,824.38, 31,493.80 and 12,752.44

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Solution

The fourth proportional to 22,824.38, 31,493.80 and 12,752.44 is: 17,596.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,824.38 : 31,493.80 = 12,752.44 : x
  2. Step 2: Convert to fraction form
    22,824.38/31,493.80 = 12,752.44/x
  3. Step 3: Cross multiply
    22,824.38x = 31,493.80 × 12,752.44
  4. Step 4: Simplify right side
    22,824.38x = 401,622,794.87
  5. Step 5: Solve for x
    x = 401,622,794.87/22,824.38
  6. Step 6: Final answer
    x = 17,596.22

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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.