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Finding the Fourth Proportional to 16,596.41, 24,884.37 and 8,152.17

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Solution

The fourth proportional to 16,596.41, 24,884.37 and 8,152.17 is: 12,223.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,596.41 : 24,884.37 = 8,152.17 : x
  2. Step 2: Convert to fraction form
    16,596.41/24,884.37 = 8,152.17/x
  3. Step 3: Cross multiply
    16,596.41x = 24,884.37 × 8,152.17
  4. Step 4: Simplify right side
    16,596.41x = 202,861,614.58
  5. Step 5: Solve for x
    x = 202,861,614.58/16,596.41
  6. Step 6: Final answer
    x = 12,223.23

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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.