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Finding the Fourth Proportional to 12,170.97, 18,257.54 and 3,405.96

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Solution

The fourth proportional to 12,170.97, 18,257.54 and 3,405.96 is: 5,109.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,170.97 : 18,257.54 = 3,405.96 : x
  2. Step 2: Convert to fraction form
    12,170.97/18,257.54 = 3,405.96/x
  3. Step 3: Cross multiply
    12,170.97x = 18,257.54 × 3,405.96
  4. Step 4: Simplify right side
    12,170.97x = 62,184,433.91
  5. Step 5: Solve for x
    x = 62,184,433.91/12,170.97
  6. Step 6: Final answer
    x = 5,109.24

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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.