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Finding the Fourth Proportional to 16,450.50, 24,687.09 and 14,257.02

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Solution

The fourth proportional to 16,450.50, 24,687.09 and 14,257.02 is: 21,395.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,450.50 : 24,687.09 = 14,257.02 : x
  2. Step 2: Convert to fraction form
    16,450.50/24,687.09 = 14,257.02/x
  3. Step 3: Cross multiply
    16,450.50x = 24,687.09 × 14,257.02
  4. Step 4: Simplify right side
    16,450.50x = 351,964,335.87
  5. Step 5: Solve for x
    x = 351,964,335.87/16,450.50
  6. Step 6: Final answer
    x = 21,395.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.