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Finding the Fourth Proportional to 24,546.68, 33,874.43 and 13,644.81

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Solution

The fourth proportional to 24,546.68, 33,874.43 and 13,644.81 is: 18,829.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,546.68 : 33,874.43 = 13,644.81 : x
  2. Step 2: Convert to fraction form
    24,546.68/33,874.43 = 13,644.81/x
  3. Step 3: Cross multiply
    24,546.68x = 33,874.43 × 13,644.81
  4. Step 4: Simplify right side
    24,546.68x = 462,210,092.98
  5. Step 5: Solve for x
    x = 462,210,092.98/24,546.68
  6. Step 6: Final answer
    x = 18,829.85

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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.