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Finding the Fourth Proportional to 12,174.84, 18,262.26 and 9,405.54

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Solution

The fourth proportional to 12,174.84, 18,262.26 and 9,405.54 is: 14,108.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,174.84 : 18,262.26 = 9,405.54 : x
  2. Step 2: Convert to fraction form
    12,174.84/18,262.26 = 9,405.54/x
  3. Step 3: Cross multiply
    12,174.84x = 18,262.26 × 9,405.54
  4. Step 4: Simplify right side
    12,174.84x = 171,766,416.92
  5. Step 5: Solve for x
    x = 171,766,416.92/12,174.84
  6. Step 6: Final answer
    x = 14,108.31

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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.