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Finding the Fourth Proportional to 22,493.80, 33,739.26 and 6,913

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Solution

The fourth proportional to 22,493.80, 33,739.26 and 6,913 is: 10,369.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,493.80 : 33,739.26 = 6,913 : x
  2. Step 2: Convert to fraction form
    22,493.80/33,739.26 = 6,913/x
  3. Step 3: Cross multiply
    22,493.80x = 33,739.26 × 6,913
  4. Step 4: Simplify right side
    22,493.80x = 233,239,504.38
  5. Step 5: Solve for x
    x = 233,239,504.38/22,493.80
  6. Step 6: Final answer
    x = 10,369.06

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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.