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Finding the Fourth Proportional to 21,244.84, 31,872.38 and 8,933.80

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Solution

The fourth proportional to 21,244.84, 31,872.38 and 8,933.80 is: 13,402.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,244.84 : 31,872.38 = 8,933.80 : x
  2. Step 2: Convert to fraction form
    21,244.84/31,872.38 = 8,933.80/x
  3. Step 3: Cross multiply
    21,244.84x = 31,872.38 × 8,933.80
  4. Step 4: Simplify right side
    21,244.84x = 284,741,468.44
  5. Step 5: Solve for x
    x = 284,741,468.44/21,244.84
  6. Step 6: Final answer
    x = 13,402.85

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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.