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Finding the Fourth Proportional to 23,846.82, 35,776.61 and 8,264.45

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Solution

The fourth proportional to 23,846.82, 35,776.61 and 8,264.45 is: 12,398.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,846.82 : 35,776.61 = 8,264.45 : x
  2. Step 2: Convert to fraction form
    23,846.82/35,776.61 = 8,264.45/x
  3. Step 3: Cross multiply
    23,846.82x = 35,776.61 × 8,264.45
  4. Step 4: Simplify right side
    23,846.82x = 295,673,784.31
  5. Step 5: Solve for x
    x = 295,673,784.31/23,846.82
  6. Step 6: Final answer
    x = 12,398.88

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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.