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Finding the Fourth Proportional to 16,274.93, 24,412.39 and 5,884.25

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Solution

The fourth proportional to 16,274.93, 24,412.39 and 5,884.25 is: 8,826.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,274.93 : 24,412.39 = 5,884.25 : x
  2. Step 2: Convert to fraction form
    16,274.93/24,412.39 = 5,884.25/x
  3. Step 3: Cross multiply
    16,274.93x = 24,412.39 × 5,884.25
  4. Step 4: Simplify right side
    16,274.93x = 143,648,469.08
  5. Step 5: Solve for x
    x = 143,648,469.08/16,274.93
  6. Step 6: Final answer
    x = 8,826.37

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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.