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Finding the Fourth Proportional to 16,284.43, 24,429.08 and 5,893.75

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Solution

The fourth proportional to 16,284.43, 24,429.08 and 5,893.75 is: 8,841.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,284.43 : 24,429.08 = 5,893.75 : x
  2. Step 2: Convert to fraction form
    16,284.43/24,429.08 = 5,893.75/x
  3. Step 3: Cross multiply
    16,284.43x = 24,429.08 × 5,893.75
  4. Step 4: Simplify right side
    16,284.43x = 143,978,890.25
  5. Step 5: Solve for x
    x = 143,978,890.25/16,284.43
  6. Step 6: Final answer
    x = 8,841.51

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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.