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Finding the Fourth Proportional to 22,616.26, 31,188.22 and 20,828.38

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Solution

The fourth proportional to 22,616.26, 31,188.22 and 20,828.38 is: 28,722.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,616.26 : 31,188.22 = 20,828.38 : x
  2. Step 2: Convert to fraction form
    22,616.26/31,188.22 = 20,828.38/x
  3. Step 3: Cross multiply
    22,616.26x = 31,188.22 × 20,828.38
  4. Step 4: Simplify right side
    22,616.26x = 649,600,097.68
  5. Step 5: Solve for x
    x = 649,600,097.68/22,616.26
  6. Step 6: Final answer
    x = 28,722.70

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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.