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Finding the Fourth Proportional to 23,180.52, 34,770.78 and 8,385.98

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Solution

The fourth proportional to 23,180.52, 34,770.78 and 8,385.98 is: 12,578.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,180.52 : 34,770.78 = 8,385.98 : x
  2. Step 2: Convert to fraction form
    23,180.52/34,770.78 = 8,385.98/x
  3. Step 3: Cross multiply
    23,180.52x = 34,770.78 × 8,385.98
  4. Step 4: Simplify right side
    23,180.52x = 291,586,891.81
  5. Step 5: Solve for x
    x = 291,586,891.81/23,180.52
  6. Step 6: Final answer
    x = 12,578.96

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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.