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Finding the Fourth Proportional to 22,533.87, 33,771.21 and 16,582.89

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Solution

The fourth proportional to 22,533.87, 33,771.21 and 16,582.89 is: 24,852.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,533.87 : 33,771.21 = 16,582.89 : x
  2. Step 2: Convert to fraction form
    22,533.87/33,771.21 = 16,582.89/x
  3. Step 3: Cross multiply
    22,533.87x = 33,771.21 × 16,582.89
  4. Step 4: Simplify right side
    22,533.87x = 560,024,260.60
  5. Step 5: Solve for x
    x = 560,024,260.60/22,533.87
  6. Step 6: Final answer
    x = 24,852.56

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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.