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Finding the Fourth Proportional to 28,571.76, 42,822 and 22,022.64

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Solution

The fourth proportional to 28,571.76, 42,822 and 22,022.64 is: 33,006.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,571.76 : 42,822 = 22,022.64 : x
  2. Step 2: Convert to fraction form
    28,571.76/42,822 = 22,022.64/x
  3. Step 3: Cross multiply
    28,571.76x = 42,822 × 22,022.64
  4. Step 4: Simplify right side
    28,571.76x = 943,053,490.08
  5. Step 5: Solve for x
    x = 943,053,490.08/28,571.76
  6. Step 6: Final answer
    x = 33,006.49

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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.