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Finding the Fourth Proportional to 22,735.38, 31,379.18 and 12,799.38

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Solution

The fourth proportional to 22,735.38, 31,379.18 and 12,799.38 is: 17,665.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,735.38 : 31,379.18 = 12,799.38 : x
  2. Step 2: Convert to fraction form
    22,735.38/31,379.18 = 12,799.38/x
  3. Step 3: Cross multiply
    22,735.38x = 31,379.18 × 12,799.38
  4. Step 4: Simplify right side
    22,735.38x = 401,634,048.91
  5. Step 5: Solve for x
    x = 401,634,048.91/22,735.38
  6. Step 6: Final answer
    x = 17,665.60

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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.