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Finding the Fourth Proportional to 23,194.17, 34,796.31 and 8,401.54

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Solution

The fourth proportional to 23,194.17, 34,796.31 and 8,401.54 is: 12,604.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,194.17 : 34,796.31 = 8,401.54 : x
  2. Step 2: Convert to fraction form
    23,194.17/34,796.31 = 8,401.54/x
  3. Step 3: Cross multiply
    23,194.17x = 34,796.31 × 8,401.54
  4. Step 4: Simplify right side
    23,194.17x = 292,342,590.32
  5. Step 5: Solve for x
    x = 292,342,590.32/23,194.17
  6. Step 6: Final answer
    x = 12,604.14

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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.