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Finding the Fourth Proportional to 22,380.47, 33,563.83 and 7,384.82

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Solution

The fourth proportional to 22,380.47, 33,563.83 and 7,384.82 is: 11,074.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,380.47 : 33,563.83 = 7,384.82 : x
  2. Step 2: Convert to fraction form
    22,380.47/33,563.83 = 7,384.82/x
  3. Step 3: Cross multiply
    22,380.47x = 33,563.83 × 7,384.82
  4. Step 4: Simplify right side
    22,380.47x = 247,862,843.06
  5. Step 5: Solve for x
    x = 247,862,843.06/22,380.47
  6. Step 6: Final answer
    x = 11,074.96

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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.