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Finding the Fourth Proportional to 16,216.62, 24,328.62 and 6,857.43

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Solution

The fourth proportional to 16,216.62, 24,328.62 and 6,857.43 is: 10,287.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,216.62 : 24,328.62 = 6,857.43 : x
  2. Step 2: Convert to fraction form
    16,216.62/24,328.62 = 6,857.43/x
  3. Step 3: Cross multiply
    16,216.62x = 24,328.62 × 6,857.43
  4. Step 4: Simplify right side
    16,216.62x = 166,831,808.65
  5. Step 5: Solve for x
    x = 166,831,808.65/16,216.62
  6. Step 6: Final answer
    x = 10,287.71

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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.