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Finding the Fourth Proportional to 24,137.86, 33,310.17 and 14,072.26

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Solution

The fourth proportional to 24,137.86, 33,310.17 and 14,072.26 is: 19,419.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,137.86 : 33,310.17 = 14,072.26 : x
  2. Step 2: Convert to fraction form
    24,137.86/33,310.17 = 14,072.26/x
  3. Step 3: Cross multiply
    24,137.86x = 33,310.17 × 14,072.26
  4. Step 4: Simplify right side
    24,137.86x = 468,749,372.88
  5. Step 5: Solve for x
    x = 468,749,372.88/24,137.86
  6. Step 6: Final answer
    x = 19,419.67

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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.