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Finding the Fourth Proportional to 22,145.94, 33,219.06 and 6,563.70

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Solution

The fourth proportional to 22,145.94, 33,219.06 and 6,563.70 is: 9,845.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,145.94 : 33,219.06 = 6,563.70 : x
  2. Step 2: Convert to fraction form
    22,145.94/33,219.06 = 6,563.70/x
  3. Step 3: Cross multiply
    22,145.94x = 33,219.06 × 6,563.70
  4. Step 4: Simplify right side
    22,145.94x = 218,039,944.12
  5. Step 5: Solve for x
    x = 218,039,944.12/22,145.94
  6. Step 6: Final answer
    x = 9,845.59

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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.