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Finding the Fourth Proportional to 12,318.25, 18,481.96 and 7,391.42

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Solution

The fourth proportional to 12,318.25, 18,481.96 and 7,391.42 is: 11,089.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,318.25 : 18,481.96 = 7,391.42 : x
  2. Step 2: Convert to fraction form
    12,318.25/18,481.96 = 7,391.42/x
  3. Step 3: Cross multiply
    12,318.25x = 18,481.96 × 7,391.42
  4. Step 4: Simplify right side
    12,318.25x = 136,607,928.78
  5. Step 5: Solve for x
    x = 136,607,928.78/12,318.25
  6. Step 6: Final answer
    x = 11,089.89

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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.