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Finding the Fourth Proportional to 22,484.74, 33,747.84 and 11,399.20

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Solution

The fourth proportional to 22,484.74, 33,747.84 and 11,399.20 is: 17,109.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,484.74 : 33,747.84 = 11,399.20 : x
  2. Step 2: Convert to fraction form
    22,484.74/33,747.84 = 11,399.20/x
  3. Step 3: Cross multiply
    22,484.74x = 33,747.84 × 11,399.20
  4. Step 4: Simplify right side
    22,484.74x = 384,698,377.73
  5. Step 5: Solve for x
    x = 384,698,377.73/22,484.74
  6. Step 6: Final answer
    x = 17,109.31

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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.