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Finding the Fourth Proportional to 23,846.52, 35,761.68 and 8,260.50

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Solution

The fourth proportional to 23,846.52, 35,761.68 and 8,260.50 is: 12,387.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,846.52 : 35,761.68 = 8,260.50 : x
  2. Step 2: Convert to fraction form
    23,846.52/35,761.68 = 8,260.50/x
  3. Step 3: Cross multiply
    23,846.52x = 35,761.68 × 8,260.50
  4. Step 4: Simplify right side
    23,846.52x = 295,409,357.64
  5. Step 5: Solve for x
    x = 295,409,357.64/23,846.52
  6. Step 6: Final answer
    x = 12,387.94

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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.