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Finding the Fourth Proportional to 22,533.96, 33,771.36 and 16,582.98

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Solution

The fourth proportional to 22,533.96, 33,771.36 and 16,582.98 is: 24,852.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,533.96 : 33,771.36 = 16,582.98 : x
  2. Step 2: Convert to fraction form
    22,533.96/33,771.36 = 16,582.98/x
  3. Step 3: Cross multiply
    22,533.96x = 33,771.36 × 16,582.98
  4. Step 4: Simplify right side
    22,533.96x = 560,029,976.28
  5. Step 5: Solve for x
    x = 560,029,976.28/22,533.96
  6. Step 6: Final answer
    x = 24,852.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.