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Finding the Fourth Proportional to 12,207.96, 18,261.79 and 9,747.59

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Solution

The fourth proportional to 12,207.96, 18,261.79 and 9,747.59 is: 14,581.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,207.96 : 18,261.79 = 9,747.59 : x
  2. Step 2: Convert to fraction form
    12,207.96/18,261.79 = 9,747.59/x
  3. Step 3: Cross multiply
    12,207.96x = 18,261.79 × 9,747.59
  4. Step 4: Simplify right side
    12,207.96x = 178,008,325.91
  5. Step 5: Solve for x
    x = 178,008,325.91/12,207.96
  6. Step 6: Final answer
    x = 14,581.33

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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.