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Finding the Fourth Proportional to 23,251.86, 34,887.11 and 8,461.80

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Solution

The fourth proportional to 23,251.86, 34,887.11 and 8,461.80 is: 12,696.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,251.86 : 34,887.11 = 8,461.80 : x
  2. Step 2: Convert to fraction form
    23,251.86/34,887.11 = 8,461.80/x
  3. Step 3: Cross multiply
    23,251.86x = 34,887.11 × 8,461.80
  4. Step 4: Simplify right side
    23,251.86x = 295,207,705.09
  5. Step 5: Solve for x
    x = 295,207,705.09/23,251.86
  6. Step 6: Final answer
    x = 12,696.09

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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.