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Finding the Fourth Proportional to 24,391.50, 33,647.31 and 16,420.14

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Solution

The fourth proportional to 24,391.50, 33,647.31 and 16,420.14 is: 22,651.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,391.50 : 33,647.31 = 16,420.14 : x
  2. Step 2: Convert to fraction form
    24,391.50/33,647.31 = 16,420.14/x
  3. Step 3: Cross multiply
    24,391.50x = 33,647.31 × 16,420.14
  4. Step 4: Simplify right side
    24,391.50x = 552,493,540.82
  5. Step 5: Solve for x
    x = 552,493,540.82/24,391.50
  6. Step 6: Final answer
    x = 22,651.07

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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.