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Finding the Fourth Proportional to 17,934, 26,905.32 and 5,622

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Solution

The fourth proportional to 17,934, 26,905.32 and 5,622 is: 8,434.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,934 : 26,905.32 = 5,622 : x
  2. Step 2: Convert to fraction form
    17,934/26,905.32 = 5,622/x
  3. Step 3: Cross multiply
    17,934x = 26,905.32 × 5,622
  4. Step 4: Simplify right side
    17,934x = 151,261,709.04
  5. Step 5: Solve for x
    x = 151,261,709.04/17,934
  6. Step 6: Final answer
    x = 8,434.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.