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Finding the Fourth Proportional to 21,468.36, 32,198.82 and 5,673.57

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Solution

The fourth proportional to 21,468.36, 32,198.82 and 5,673.57 is: 8,509.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,468.36 : 32,198.82 = 5,673.57 : x
  2. Step 2: Convert to fraction form
    21,468.36/32,198.82 = 5,673.57/x
  3. Step 3: Cross multiply
    21,468.36x = 32,198.82 × 5,673.57
  4. Step 4: Simplify right side
    21,468.36x = 182,682,259.19
  5. Step 5: Solve for x
    x = 182,682,259.19/21,468.36
  6. Step 6: Final answer
    x = 8,509.37

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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.