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Finding the Fourth Proportional to 24,814.44, 34,143.89 and 24,223.95

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Solution

The fourth proportional to 24,814.44, 34,143.89 and 24,223.95 is: 33,331.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,814.44 : 34,143.89 = 24,223.95 : x
  2. Step 2: Convert to fraction form
    24,814.44/34,143.89 = 24,223.95/x
  3. Step 3: Cross multiply
    24,814.44x = 34,143.89 × 24,223.95
  4. Step 4: Simplify right side
    24,814.44x = 827,099,763.05
  5. Step 5: Solve for x
    x = 827,099,763.05/24,814.44
  6. Step 6: Final answer
    x = 33,331.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.