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Finding the Fourth Proportional to 15,901.26, 21,942.27 and 8,827.26

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Solution

The fourth proportional to 15,901.26, 21,942.27 and 8,827.26 is: 12,180.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,901.26 : 21,942.27 = 8,827.26 : x
  2. Step 2: Convert to fraction form
    15,901.26/21,942.27 = 8,827.26/x
  3. Step 3: Cross multiply
    15,901.26x = 21,942.27 × 8,827.26
  4. Step 4: Simplify right side
    15,901.26x = 193,690,122.28
  5. Step 5: Solve for x
    x = 193,690,122.28/15,901.26
  6. Step 6: Final answer
    x = 12,180.80

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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.