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Finding the Fourth Proportional to 22,651.33, 33,978.77 and 6,011

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Solution

The fourth proportional to 22,651.33, 33,978.77 and 6,011 is: 9,016.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,651.33 : 33,978.77 = 6,011 : x
  2. Step 2: Convert to fraction form
    22,651.33/33,978.77 = 6,011/x
  3. Step 3: Cross multiply
    22,651.33x = 33,978.77 × 6,011
  4. Step 4: Simplify right side
    22,651.33x = 204,246,386.47
  5. Step 5: Solve for x
    x = 204,246,386.47/22,651.33
  6. Step 6: Final answer
    x = 9,016.97

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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.