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Finding the Fourth Proportional to 24,073.75, 33,226.37 and 16,129.82

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Solution

The fourth proportional to 24,073.75, 33,226.37 and 16,129.82 is: 22,262.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,073.75 : 33,226.37 = 16,129.82 : x
  2. Step 2: Convert to fraction form
    24,073.75/33,226.37 = 16,129.82/x
  3. Step 3: Cross multiply
    24,073.75x = 33,226.37 × 16,129.82
  4. Step 4: Simplify right side
    24,073.75x = 535,935,286.70
  5. Step 5: Solve for x
    x = 535,935,286.70/24,073.75
  6. Step 6: Final answer
    x = 22,262.23

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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.