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Finding the Fourth Proportional to 22,978.44, 34,469.55 and 9,830.94

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Solution

The fourth proportional to 22,978.44, 34,469.55 and 9,830.94 is: 14,747.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,978.44 : 34,469.55 = 9,830.94 : x
  2. Step 2: Convert to fraction form
    22,978.44/34,469.55 = 9,830.94/x
  3. Step 3: Cross multiply
    22,978.44x = 34,469.55 × 9,830.94
  4. Step 4: Simplify right side
    22,978.44x = 338,868,077.88
  5. Step 5: Solve for x
    x = 338,868,077.88/22,978.44
  6. Step 6: Final answer
    x = 14,747.22

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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.