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Finding the Fourth Proportional to 23,855.31, 35,761.10 and 8,262

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Solution

The fourth proportional to 23,855.31, 35,761.10 and 8,262 is: 12,385.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,855.31 : 35,761.10 = 8,262 : x
  2. Step 2: Convert to fraction form
    23,855.31/35,761.10 = 8,262/x
  3. Step 3: Cross multiply
    23,855.31x = 35,761.10 × 8,262
  4. Step 4: Simplify right side
    23,855.31x = 295,458,166.89
  5. Step 5: Solve for x
    x = 295,458,166.89/23,855.31
  6. Step 6: Final answer
    x = 12,385.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.