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Finding the Fourth Proportional to 22,464.52, 33,697.26 and 6,882.16

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Solution

The fourth proportional to 22,464.52, 33,697.26 and 6,882.16 is: 10,323.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,464.52 : 33,697.26 = 6,882.16 : x
  2. Step 2: Convert to fraction form
    22,464.52/33,697.26 = 6,882.16/x
  3. Step 3: Cross multiply
    22,464.52x = 33,697.26 × 6,882.16
  4. Step 4: Simplify right side
    22,464.52x = 231,909,934.88
  5. Step 5: Solve for x
    x = 231,909,934.88/22,464.52
  6. Step 6: Final answer
    x = 10,323.39

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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.