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Finding the Fourth Proportional to 17,942, 26,917.32 and 5,630

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Solution

The fourth proportional to 17,942, 26,917.32 and 5,630 is: 8,446.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,942 : 26,917.32 = 5,630 : x
  2. Step 2: Convert to fraction form
    17,942/26,917.32 = 5,630/x
  3. Step 3: Cross multiply
    17,942x = 26,917.32 × 5,630
  4. Step 4: Simplify right side
    17,942x = 151,544,511.60
  5. Step 5: Solve for x
    x = 151,544,511.60/17,942
  6. Step 6: Final answer
    x = 8,446.36

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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.