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Finding the Fourth Proportional to 23,846.48, 35,776.08 and 8,264.09

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Solution

The fourth proportional to 23,846.48, 35,776.08 and 8,264.09 is: 12,398.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,846.48 : 35,776.08 = 8,264.09 : x
  2. Step 2: Convert to fraction form
    23,846.48/35,776.08 = 8,264.09/x
  3. Step 3: Cross multiply
    23,846.48x = 35,776.08 × 8,264.09
  4. Step 4: Simplify right side
    23,846.48x = 295,656,744.97
  5. Step 5: Solve for x
    x = 295,656,744.97/23,846.48
  6. Step 6: Final answer
    x = 12,398.34

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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.