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Finding the Fourth Proportional to 22,180, 33,272.16 and 5,764

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Solution

The fourth proportional to 22,180, 33,272.16 and 5,764 is: 8,646.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,180 : 33,272.16 = 5,764 : x
  2. Step 2: Convert to fraction form
    22,180/33,272.16 = 5,764/x
  3. Step 3: Cross multiply
    22,180x = 33,272.16 × 5,764
  4. Step 4: Simplify right side
    22,180x = 191,780,730.24
  5. Step 5: Solve for x
    x = 191,780,730.24/22,180
  6. Step 6: Final answer
    x = 8,646.56

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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.