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Finding the Fourth Proportional to 21,194.50, 31,791.75 and 8,046.88

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Solution

The fourth proportional to 21,194.50, 31,791.75 and 8,046.88 is: 12,070.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,194.50 : 31,791.75 = 8,046.88 : x
  2. Step 2: Convert to fraction form
    21,194.50/31,791.75 = 8,046.88/x
  3. Step 3: Cross multiply
    21,194.50x = 31,791.75 × 8,046.88
  4. Step 4: Simplify right side
    21,194.50x = 255,824,332.85
  5. Step 5: Solve for x
    x = 255,824,332.85/21,194.50
  6. Step 6: Final answer
    x = 12,070.32

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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.