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Finding the Fourth Proportional to 23,687.66, 32,689.44 and 12,933.08

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Solution

The fourth proportional to 23,687.66, 32,689.44 and 12,933.08 is: 17,847.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,687.66 : 32,689.44 = 12,933.08 : x
  2. Step 2: Convert to fraction form
    23,687.66/32,689.44 = 12,933.08/x
  3. Step 3: Cross multiply
    23,687.66x = 32,689.44 × 12,933.08
  4. Step 4: Simplify right side
    23,687.66x = 422,775,142.68
  5. Step 5: Solve for x
    x = 422,775,142.68/23,687.66
  6. Step 6: Final answer
    x = 17,847.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.