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Finding the Fourth Proportional to 29,197.26, 40,292.26 and 16,622

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Solution

The fourth proportional to 29,197.26, 40,292.26 and 16,622 is: 22,938.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,197.26 : 40,292.26 = 16,622 : x
  2. Step 2: Convert to fraction form
    29,197.26/40,292.26 = 16,622/x
  3. Step 3: Cross multiply
    29,197.26x = 40,292.26 × 16,622
  4. Step 4: Simplify right side
    29,197.26x = 669,737,945.72
  5. Step 5: Solve for x
    x = 669,737,945.72/29,197.26
  6. Step 6: Final answer
    x = 22,938.38

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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.