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Finding the Fourth Proportional to 12,261.62, 18,399.06 and 9,493.70

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Solution

The fourth proportional to 12,261.62, 18,399.06 and 9,493.70 is: 14,245.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,261.62 : 18,399.06 = 9,493.70 : x
  2. Step 2: Convert to fraction form
    12,261.62/18,399.06 = 9,493.70/x
  3. Step 3: Cross multiply
    12,261.62x = 18,399.06 × 9,493.70
  4. Step 4: Simplify right side
    12,261.62x = 174,675,063.93
  5. Step 5: Solve for x
    x = 174,675,063.93/12,261.62
  6. Step 6: Final answer
    x = 14,245.68

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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.