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Finding the Fourth Proportional to 12,186.54, 18,277.38 and 5,609.34

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Solution

The fourth proportional to 12,186.54, 18,277.38 and 5,609.34 is: 8,412.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,186.54 : 18,277.38 = 5,609.34 : x
  2. Step 2: Convert to fraction form
    12,186.54/18,277.38 = 5,609.34/x
  3. Step 3: Cross multiply
    12,186.54x = 18,277.38 × 5,609.34
  4. Step 4: Simplify right side
    12,186.54x = 102,524,038.73
  5. Step 5: Solve for x
    x = 102,524,038.73/12,186.54
  6. Step 6: Final answer
    x = 8,412.89

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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.