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Finding the Fourth Proportional to 23,846.31, 35,775.70 and 13,841.44

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Solution

The fourth proportional to 23,846.31, 35,775.70 and 13,841.44 is: 20,765.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,846.31 : 35,775.70 = 13,841.44 : x
  2. Step 2: Convert to fraction form
    23,846.31/35,775.70 = 13,841.44/x
  3. Step 3: Cross multiply
    23,846.31x = 35,775.70 × 13,841.44
  4. Step 4: Simplify right side
    23,846.31x = 495,187,026.13
  5. Step 5: Solve for x
    x = 495,187,026.13/23,846.31
  6. Step 6: Final answer
    x = 20,765.77

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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.