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Finding the Fourth Proportional to 24,965.68, 34,450.68 and 14,353.27

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Solution

The fourth proportional to 24,965.68, 34,450.68 and 14,353.27 is: 19,806.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,965.68 : 34,450.68 = 14,353.27 : x
  2. Step 2: Convert to fraction form
    24,965.68/34,450.68 = 14,353.27/x
  3. Step 3: Cross multiply
    24,965.68x = 34,450.68 × 14,353.27
  4. Step 4: Simplify right side
    24,965.68x = 494,479,911.72
  5. Step 5: Solve for x
    x = 494,479,911.72/24,965.68
  6. Step 6: Final answer
    x = 19,806.39

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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.