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Finding the Fourth Proportional to 24,151.70, 33,329.64 and 13,396.82

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Solution

The fourth proportional to 24,151.70, 33,329.64 and 13,396.82 is: 18,487.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,151.70 : 33,329.64 = 13,396.82 : x
  2. Step 2: Convert to fraction form
    24,151.70/33,329.64 = 13,396.82/x
  3. Step 3: Cross multiply
    24,151.70x = 33,329.64 × 13,396.82
  4. Step 4: Simplify right side
    24,151.70x = 446,511,021.10
  5. Step 5: Solve for x
    x = 446,511,021.10/24,151.70
  6. Step 6: Final answer
    x = 18,487.77

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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.