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Finding the Fourth Proportional to 24,934.72, 34,408.56 and 13,756

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Solution

The fourth proportional to 24,934.72, 34,408.56 and 13,756 is: 18,982.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,934.72 : 34,408.56 = 13,756 : x
  2. Step 2: Convert to fraction form
    24,934.72/34,408.56 = 13,756/x
  3. Step 3: Cross multiply
    24,934.72x = 34,408.56 × 13,756
  4. Step 4: Simplify right side
    24,934.72x = 473,324,151.36
  5. Step 5: Solve for x
    x = 473,324,151.36/24,934.72
  6. Step 6: Final answer
    x = 18,982.53

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