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Finding the Fourth Proportional to 22,338.45, 33,494.92 and 9,180

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Solution

The fourth proportional to 22,338.45, 33,494.92 and 9,180 is: 13,764.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,338.45 : 33,494.92 = 9,180 : x
  2. Step 2: Convert to fraction form
    22,338.45/33,494.92 = 9,180/x
  3. Step 3: Cross multiply
    22,338.45x = 33,494.92 × 9,180
  4. Step 4: Simplify right side
    22,338.45x = 307,483,342.65
  5. Step 5: Solve for x
    x = 307,483,342.65/22,338.45
  6. Step 6: Final answer
    x = 13,764.76

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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.