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Finding the Fourth Proportional to 24,408.13, 33,683.24 and 13,230.13

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Solution

The fourth proportional to 24,408.13, 33,683.24 and 13,230.13 is: 18,257.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,408.13 : 33,683.24 = 13,230.13 : x
  2. Step 2: Convert to fraction form
    24,408.13/33,683.24 = 13,230.13/x
  3. Step 3: Cross multiply
    24,408.13x = 33,683.24 × 13,230.13
  4. Step 4: Simplify right side
    24,408.13x = 445,633,409.45
  5. Step 5: Solve for x
    x = 445,633,409.45/24,408.13
  6. Step 6: Final answer
    x = 18,257.58

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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.