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Finding the Fourth Proportional to 23,091.30, 34,612.11 and 9,949.86

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Solution

The fourth proportional to 23,091.30, 34,612.11 and 9,949.86 is: 14,914.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,091.30 : 34,612.11 = 9,949.86 : x
  2. Step 2: Convert to fraction form
    23,091.30/34,612.11 = 9,949.86/x
  3. Step 3: Cross multiply
    23,091.30x = 34,612.11 × 9,949.86
  4. Step 4: Simplify right side
    23,091.30x = 344,385,648.80
  5. Step 5: Solve for x
    x = 344,385,648.80/23,091.30
  6. Step 6: Final answer
    x = 14,914.09

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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.