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Finding the Fourth Proportional to 22,533.68, 33,770.94 and 16,582.70

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Solution

The fourth proportional to 22,533.68, 33,770.94 and 16,582.70 is: 24,852.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,533.68 : 33,770.94 = 16,582.70 : x
  2. Step 2: Convert to fraction form
    22,533.68/33,770.94 = 16,582.70/x
  3. Step 3: Cross multiply
    22,533.68x = 33,770.94 × 16,582.70
  4. Step 4: Simplify right side
    22,533.68x = 560,013,388.98
  5. Step 5: Solve for x
    x = 560,013,388.98/22,533.68
  6. Step 6: Final answer
    x = 24,852.28

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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.