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Finding the Fourth Proportional to 22,559.91, 33,843.15 and 6,978.75

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Solution

The fourth proportional to 22,559.91, 33,843.15 and 6,978.75 is: 10,469.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,559.91 : 33,843.15 = 6,978.75 : x
  2. Step 2: Convert to fraction form
    22,559.91/33,843.15 = 6,978.75/x
  3. Step 3: Cross multiply
    22,559.91x = 33,843.15 × 6,978.75
  4. Step 4: Simplify right side
    22,559.91x = 236,182,883.06
  5. Step 5: Solve for x
    x = 236,182,883.06/22,559.91
  6. Step 6: Final answer
    x = 10,469.14

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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.