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Finding the Fourth Proportional to 17,846.21, 24,637.72 and 12,189.44

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Solution

The fourth proportional to 17,846.21, 24,637.72 and 12,189.44 is: 16,828.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,846.21 : 24,637.72 = 12,189.44 : x
  2. Step 2: Convert to fraction form
    17,846.21/24,637.72 = 12,189.44/x
  3. Step 3: Cross multiply
    17,846.21x = 24,637.72 × 12,189.44
  4. Step 4: Simplify right side
    17,846.21x = 300,320,009.68
  5. Step 5: Solve for x
    x = 300,320,009.68/17,846.21
  6. Step 6: Final answer
    x = 16,828.22

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