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Finding the Fourth Proportional to 12,343.84, 18,516.16 and 5,418.16

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Solution

The fourth proportional to 12,343.84, 18,516.16 and 5,418.16 is: 8,127.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,343.84 : 18,516.16 = 5,418.16 : x
  2. Step 2: Convert to fraction form
    12,343.84/18,516.16 = 5,418.16/x
  3. Step 3: Cross multiply
    12,343.84x = 18,516.16 × 5,418.16
  4. Step 4: Simplify right side
    12,343.84x = 100,323,517.47
  5. Step 5: Solve for x
    x = 100,323,517.47/12,343.84
  6. Step 6: Final answer
    x = 8,127.42

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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.