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Finding the Fourth Proportional to 23,791.74, 35,663.31 and 8,196

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Solution

The fourth proportional to 23,791.74, 35,663.31 and 8,196 is: 12,285.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,791.74 : 35,663.31 = 8,196 : x
  2. Step 2: Convert to fraction form
    23,791.74/35,663.31 = 8,196/x
  3. Step 3: Cross multiply
    23,791.74x = 35,663.31 × 8,196
  4. Step 4: Simplify right side
    23,791.74x = 292,296,488.76
  5. Step 5: Solve for x
    x = 292,296,488.76/23,791.74
  6. Step 6: Final answer
    x = 12,285.63

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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.