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Finding the Fourth Proportional to 16,340.90, 24,513.96 and 8,021.64

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Solution

The fourth proportional to 16,340.90, 24,513.96 and 8,021.64 is: 12,033.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,340.90 : 24,513.96 = 8,021.64 : x
  2. Step 2: Convert to fraction form
    16,340.90/24,513.96 = 8,021.64/x
  3. Step 3: Cross multiply
    16,340.90x = 24,513.96 × 8,021.64
  4. Step 4: Simplify right side
    16,340.90x = 196,642,162.09
  5. Step 5: Solve for x
    x = 196,642,162.09/16,340.90
  6. Step 6: Final answer
    x = 12,033.74

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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.