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Finding the Fourth Proportional to 21,194.30, 31,791.70 and 6,403.34

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Solution

The fourth proportional to 21,194.30, 31,791.70 and 6,403.34 is: 9,605.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,194.30 : 31,791.70 = 6,403.34 : x
  2. Step 2: Convert to fraction form
    21,194.30/31,791.70 = 6,403.34/x
  3. Step 3: Cross multiply
    21,194.30x = 31,791.70 × 6,403.34
  4. Step 4: Simplify right side
    21,194.30x = 203,573,064.28
  5. Step 5: Solve for x
    x = 203,573,064.28/21,194.30
  6. Step 6: Final answer
    x = 9,605.09

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