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Finding the Fourth Proportional to 12,496.18, 18,744.26 and 4,174.64

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Solution

The fourth proportional to 12,496.18, 18,744.26 and 4,174.64 is: 6,261.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,496.18 : 18,744.26 = 4,174.64 : x
  2. Step 2: Convert to fraction form
    12,496.18/18,744.26 = 4,174.64/x
  3. Step 3: Cross multiply
    12,496.18x = 18,744.26 × 4,174.64
  4. Step 4: Simplify right side
    12,496.18x = 78,250,537.57
  5. Step 5: Solve for x
    x = 78,250,537.57/12,496.18
  6. Step 6: Final answer
    x = 6,261.96

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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.