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Finding the Fourth Proportional to 22,615.26, 31,186.84 and 20,827.38

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Solution

The fourth proportional to 22,615.26, 31,186.84 and 20,827.38 is: 28,721.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,615.26 : 31,186.84 = 20,827.38 : x
  2. Step 2: Convert to fraction form
    22,615.26/31,186.84 = 20,827.38/x
  3. Step 3: Cross multiply
    22,615.26x = 31,186.84 × 20,827.38
  4. Step 4: Simplify right side
    22,615.26x = 649,540,167.68
  5. Step 5: Solve for x
    x = 649,540,167.68/22,615.26
  6. Step 6: Final answer
    x = 28,721.32

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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.