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Finding the Fourth Proportional to 23,179.96, 34,770.12 and 5,649.76

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Solution

The fourth proportional to 23,179.96, 34,770.12 and 5,649.76 is: 8,474.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,179.96 : 34,770.12 = 5,649.76 : x
  2. Step 2: Convert to fraction form
    23,179.96/34,770.12 = 5,649.76/x
  3. Step 3: Cross multiply
    23,179.96x = 34,770.12 × 5,649.76
  4. Step 4: Simplify right side
    23,179.96x = 196,442,833.17
  5. Step 5: Solve for x
    x = 196,442,833.17/23,179.96
  6. Step 6: Final answer
    x = 8,474.68

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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.