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Finding the Fourth Proportional to 12,233.84, 18,340.22 and 5,207.42

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Solution

The fourth proportional to 12,233.84, 18,340.22 and 5,207.42 is: 7,806.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,233.84 : 18,340.22 = 5,207.42 : x
  2. Step 2: Convert to fraction form
    12,233.84/18,340.22 = 5,207.42/x
  3. Step 3: Cross multiply
    12,233.84x = 18,340.22 × 5,207.42
  4. Step 4: Simplify right side
    12,233.84x = 95,505,228.43
  5. Step 5: Solve for x
    x = 95,505,228.43/12,233.84
  6. Step 6: Final answer
    x = 7,806.64

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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.