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Finding the Fourth Proportional to 16,801.98, 25,208.24 and 6,945.90

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Solution

The fourth proportional to 16,801.98, 25,208.24 and 6,945.90 is: 10,421.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,801.98 : 25,208.24 = 6,945.90 : x
  2. Step 2: Convert to fraction form
    16,801.98/25,208.24 = 6,945.90/x
  3. Step 3: Cross multiply
    16,801.98x = 25,208.24 × 6,945.90
  4. Step 4: Simplify right side
    16,801.98x = 175,093,879.49
  5. Step 5: Solve for x
    x = 175,093,879.49/16,801.98
  6. Step 6: Final answer
    x = 10,421.03

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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.