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Finding the Fourth Proportional to 24,793.38, 34,214.26 and 14,182.38

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Solution

The fourth proportional to 24,793.38, 34,214.26 and 14,182.38 is: 19,571.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,793.38 : 34,214.26 = 14,182.38 : x
  2. Step 2: Convert to fraction form
    24,793.38/34,214.26 = 14,182.38/x
  3. Step 3: Cross multiply
    24,793.38x = 34,214.26 × 14,182.38
  4. Step 4: Simplify right side
    24,793.38x = 485,239,636.74
  5. Step 5: Solve for x
    x = 485,239,636.74/24,793.38
  6. Step 6: Final answer
    x = 19,571.34

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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.