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Finding the Fourth Proportional to 16,446.42, 22,696.16 and 8,892.74

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Solution

The fourth proportional to 16,446.42, 22,696.16 and 8,892.74 is: 12,272.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,446.42 : 22,696.16 = 8,892.74 : x
  2. Step 2: Convert to fraction form
    16,446.42/22,696.16 = 8,892.74/x
  3. Step 3: Cross multiply
    16,446.42x = 22,696.16 × 8,892.74
  4. Step 4: Simplify right side
    16,446.42x = 201,831,049.88
  5. Step 5: Solve for x
    x = 201,831,049.88/16,446.42
  6. Step 6: Final answer
    x = 12,272.04

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.