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Finding the Fourth Proportional to 23,676.64, 35,511.12 and 14,194.24

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Solution

The fourth proportional to 23,676.64, 35,511.12 and 14,194.24 is: 21,289.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,676.64 : 35,511.12 = 14,194.24 : x
  2. Step 2: Convert to fraction form
    23,676.64/35,511.12 = 14,194.24/x
  3. Step 3: Cross multiply
    23,676.64x = 35,511.12 × 14,194.24
  4. Step 4: Simplify right side
    23,676.64x = 504,053,359.95
  5. Step 5: Solve for x
    x = 504,053,359.95/23,676.64
  6. Step 6: Final answer
    x = 21,289.06

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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.