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Finding the Fourth Proportional to 16,496.79, 24,755.31 and 13,757.37

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Solution

The fourth proportional to 16,496.79, 24,755.31 and 13,757.37 is: 20,644.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,496.79 : 24,755.31 = 13,757.37 : x
  2. Step 2: Convert to fraction form
    16,496.79/24,755.31 = 13,757.37/x
  3. Step 3: Cross multiply
    16,496.79x = 24,755.31 × 13,757.37
  4. Step 4: Simplify right side
    16,496.79x = 340,567,959.13
  5. Step 5: Solve for x
    x = 340,567,959.13/16,496.79
  6. Step 6: Final answer
    x = 20,644.50

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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.