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Finding the Fourth Proportional to 22,380, 33,577.32 and 6,797.64

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Solution

The fourth proportional to 22,380, 33,577.32 and 6,797.64 is: 10,198.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,380 : 33,577.32 = 6,797.64 : x
  2. Step 2: Convert to fraction form
    22,380/33,577.32 = 6,797.64/x
  3. Step 3: Cross multiply
    22,380x = 33,577.32 × 6,797.64
  4. Step 4: Simplify right side
    22,380x = 228,246,533.52
  5. Step 5: Solve for x
    x = 228,246,533.52/22,380
  6. Step 6: Final answer
    x = 10,198.68

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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.