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Finding the Fourth Proportional to 24,408.25, 33,683.41 and 13,230.25

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Solution

The fourth proportional to 24,408.25, 33,683.41 and 13,230.25 is: 18,257.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,408.25 : 33,683.41 = 13,230.25 : x
  2. Step 2: Convert to fraction form
    24,408.25/33,683.41 = 13,230.25/x
  3. Step 3: Cross multiply
    24,408.25x = 33,683.41 × 13,230.25
  4. Step 4: Simplify right side
    24,408.25x = 445,639,902.08
  5. Step 5: Solve for x
    x = 445,639,902.08/24,408.25
  6. Step 6: Final answer
    x = 18,257.76

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1.5x scale

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.