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Finding the Fourth Proportional to 24,935.54, 34,414.47 and 14,324.94

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Solution

The fourth proportional to 24,935.54, 34,414.47 and 14,324.94 is: 19,770.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,935.54 : 34,414.47 = 14,324.94 : x
  2. Step 2: Convert to fraction form
    24,935.54/34,414.47 = 14,324.94/x
  3. Step 3: Cross multiply
    24,935.54x = 34,414.47 × 14,324.94
  4. Step 4: Simplify right side
    24,935.54x = 492,985,217.88
  5. Step 5: Solve for x
    x = 492,985,217.88/24,935.54
  6. Step 6: Final answer
    x = 19,770.39

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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.